diff --git a/Lib/fontTools/ttLib/tables/_a_v_a_r.py b/Lib/fontTools/ttLib/tables/_a_v_a_r.py
index 39039cf73a..6ea4132b3d 100644
--- a/Lib/fontTools/ttLib/tables/_a_v_a_r.py
+++ b/Lib/fontTools/ttLib/tables/_a_v_a_r.py
@@ -6,6 +6,9 @@
     strToFixedToFloat as str2fl,
 )
 from fontTools.misc.textTools import bytesjoin, safeEval
+from fontTools.misc.roundTools import otRound
+from fontTools.varLib.models import piecewiseLinearMap
+from fontTools.varLib.varStore import VarStoreInstancer, NO_VARIATION_INDEX
 from fontTools.ttLib import TTLibError
 from . import DefaultTable
 from . import otTables
@@ -74,9 +77,10 @@ def compile(self, ttFont):
 
     def decompile(self, data, ttFont):
         super().decompile(data, ttFont)
-        assert self.table.Version >= 0x00010000
         self.majorVersion = self.table.Version >> 16
         self.minorVersion = self.table.Version & 0xFFFF
+        if self.majorVersion not in (1, 2):
+            raise NotImplementedError("Unknown avar table version")
         axisTags = [axis.axisTag for axis in ttFont["fvar"].axes]
         for axis in axisTags:
             self.segments[axis] = {}
@@ -136,3 +140,48 @@ def fromXML(self, name, attrs, content, ttFont):
                         segment[fromValue] = toValue
         else:
             super().fromXML(name, attrs, content, ttFont)
+
+    def renormalizeLocation(self, location, font):
+
+        if self.majorVersion not in (1, 2):
+            raise NotImplementedError("Unknown avar table version")
+
+        avarSegments = self.segments
+        mappedLocation = {}
+        for axisTag, value in location.items():
+            avarMapping = avarSegments.get(axisTag, None)
+            if avarMapping is not None:
+                value = piecewiseLinearMap(value, avarMapping)
+            mappedLocation[axisTag] = value
+
+        if self.majorVersion < 2:
+            return mappedLocation
+
+        # Version 2
+
+        varIdxMap = self.table.VarIdxMap
+        varStore = self.table.VarStore
+        axes = font["fvar"].axes
+        if varStore is not None:
+            instancer = VarStoreInstancer(varStore, axes, mappedLocation)
+
+        coords = list(fl2fi(mappedLocation.get(axis.axisTag, 0), 14) for axis in axes)
+
+        out = []
+        for varIdx, v in enumerate(coords):
+
+            if varIdxMap is not None:
+                varIdx = varIdxMap[varIdx]
+
+            if varStore is not None:
+                delta = instancer[varIdx]
+                v += otRound(delta)
+                v = min(max(v, -(1 << 14)), +(1 << 14))
+
+            out.append(v)
+
+        mappedLocation = {
+            axis.axisTag: fi2fl(v, 14) for v, axis in zip(out, axes) if v != 0
+        }
+
+        return mappedLocation
diff --git a/Lib/fontTools/ttLib/tables/_f_v_a_r.py b/Lib/fontTools/ttLib/tables/_f_v_a_r.py
index 062a9aa429..a3bdacd4cc 100644
--- a/Lib/fontTools/ttLib/tables/_f_v_a_r.py
+++ b/Lib/fontTools/ttLib/tables/_f_v_a_r.py
@@ -110,6 +110,9 @@ def fromXML(self, name, attrs, content, ttFont):
             instance.fromXML(name, attrs, content, ttFont)
             self.instances.append(instance)
 
+    def getAxes(self):
+        return {a.axisTag: (a.minValue, a.defaultValue, a.maxValue) for a in self.axes}
+
 
 class Axis(object):
     def __init__(self):
diff --git a/Lib/fontTools/ttLib/tables/otTables.py b/Lib/fontTools/ttLib/tables/otTables.py
index 3505f42337..879610a1ed 100644
--- a/Lib/fontTools/ttLib/tables/otTables.py
+++ b/Lib/fontTools/ttLib/tables/otTables.py
@@ -703,6 +703,9 @@ def fromXML(self, name, attrs, content, font):
         assert inner <= 0xFFFF
         mapping.insert(index, (outer << 16) | inner)
 
+    def __getitem__(self, i):
+        return self.mapping[i] if i < len(self.mapping) else NO_VARIATION_INDEX
+
 
 class VarIdxMap(BaseTable):
     def populateDefaults(self, propagator=None):
@@ -755,6 +758,9 @@ def fromXML(self, name, attrs, content, font):
         assert inner <= 0xFFFF
         mapping[glyph] = (outer << 16) | inner
 
+    def __getitem__(self, glyphName):
+        return self.mapping.get(glyphName, NO_VARIATION_INDEX)
+
 
 class VarRegionList(BaseTable):
     def preWrite(self, font):
diff --git a/Lib/fontTools/ttLib/ttFont.py b/Lib/fontTools/ttLib/ttFont.py
index 52e048b5f1..578f6328f1 100644
--- a/Lib/fontTools/ttLib/ttFont.py
+++ b/Lib/fontTools/ttLib/ttFont.py
@@ -781,26 +781,15 @@ def normalizeLocation(self, location):
 
         Raises ``TTLibError`` if the font is not a variable font.
         """
-        from fontTools.varLib.models import normalizeLocation, piecewiseLinearMap
+        from fontTools.varLib.models import normalizeLocation
 
         if "fvar" not in self:
             raise TTLibError("Not a variable font")
 
-        axes = {
-            a.axisTag: (a.minValue, a.defaultValue, a.maxValue)
-            for a in self["fvar"].axes
-        }
+        axes = self["fvar"].getAxes()
         location = normalizeLocation(location, axes)
         if "avar" in self:
-            avar = self["avar"]
-            avarSegments = avar.segments
-            mappedLocation = {}
-            for axisTag, value in location.items():
-                avarMapping = avarSegments.get(axisTag, None)
-                if avarMapping is not None:
-                    value = piecewiseLinearMap(value, avarMapping)
-                mappedLocation[axisTag] = value
-            location = mappedLocation
+            location = self["avar"].renormalizeLocation(location, self)
         return location
 
     def getBestCmap(
diff --git a/Lib/fontTools/varLib/interpolatable.py b/Lib/fontTools/varLib/interpolatable.py
index 5fc12e04c9..e212ecf8d1 100644
--- a/Lib/fontTools/varLib/interpolatable.py
+++ b/Lib/fontTools/varLib/interpolatable.py
@@ -749,22 +749,27 @@ def main(args=None):
             if "gvar" in font:
                 # Is variable font
 
-                axisMapping = {}
                 fvar = font["fvar"]
+                axisMapping = {}
                 for axis in fvar.axes:
                     axisMapping[axis.axisTag] = {
                         -1: axis.minValue,
                         0: axis.defaultValue,
                         1: axis.maxValue,
                     }
+                normalized = False
                 if "avar" in font:
                     avar = font["avar"]
-                    for axisTag, segments in avar.segments.items():
-                        fvarMapping = axisMapping[axisTag].copy()
-                        for location, value in segments.items():
-                            axisMapping[axisTag][value] = piecewiseLinearMap(
-                                location, fvarMapping
-                            )
+                    if getattr(avar.table, "VarStore", None):
+                        axisMapping = {tag: {-1: -1, 0: 0, 1: 1} for tag in axisMapping}
+                        normalized = True
+                    else:
+                        for axisTag, segments in avar.segments.items():
+                            fvarMapping = axisMapping[axisTag].copy()
+                            for location, value in segments.items():
+                                axisMapping[axisTag][value] = piecewiseLinearMap(
+                                    location, fvarMapping
+                                )
 
                 gvar = font["gvar"]
                 glyf = font["glyf"]
@@ -811,6 +816,8 @@ def main(args=None):
                         )
                         + "'"
                     )
+                    if normalized:
+                        name += " (normalized)"
                     names.append(name)
                     fonts.append(glyphsets[locTuple])
                     locations.append(dict(locTuple))
diff --git a/Tests/ttLib/tables/_a_v_a_r_test.py b/Tests/ttLib/tables/_a_v_a_r_test.py
index dbe07b3a5b..2c41bdf642 100644
--- a/Tests/ttLib/tables/_a_v_a_r_test.py
+++ b/Tests/ttLib/tables/_a_v_a_r_test.py
@@ -2,6 +2,7 @@
 from fontTools.misc.textTools import deHexStr
 from fontTools.misc.xmlWriter import XMLWriter
 from fontTools.misc.fixedTools import floatToFixed as fl2fi
+from fontTools.pens.statisticsPen import StatisticsPen
 from fontTools.ttLib import TTFont, TTLibError
 import fontTools.ttLib.tables.otTables as otTables
 from fontTools.ttLib.tables._a_v_a_r import table__a_v_a_r
@@ -9,9 +10,12 @@
 import fontTools.varLib.models as models
 import fontTools.varLib.varStore as varStore
 from io import BytesIO
+import os
 import unittest
 
 
+DATA_DIR = os.path.join(os.path.abspath(os.path.dirname(__file__)), "data")
+
 TEST_DATA = deHexStr(
     "00 01 00 00 00 00 00 02 "
     "00 04 C0 00 C0 00 00 00 00 00 13 33 33 33 40 00 40 00 "
@@ -100,7 +104,7 @@ def xml_lines(writer):
 
 
 class Avar2Test(unittest.TestCase):
-    def test(self):
+    def test_roundtrip(self):
         axisTags = ["wght", "wdth"]
         fvar = table__f_v_a_r()
         for tag in axisTags:
@@ -173,6 +177,28 @@ def test(self):
         assert avar.table.VarStore.VarRegionList.RegionAxisCount == 2
         assert avar.table.VarStore.VarRegionList.RegionCount == 1
 
+    def test_ttGlyphSet(self):
+        ttf = os.path.join(DATA_DIR, "Amstelvar-avar2.subset.ttf")
+        font = TTFont(ttf)
+
+        regular = font.getGlyphSet()
+        black = font.getGlyphSet(location={"wght": 900})
+        expanded = font.getGlyphSet(location={"wdth": 125})
+
+        regularStats = StatisticsPen()
+        blackStats = StatisticsPen()
+        expandedStats = StatisticsPen()
+
+        for glyph in "Test":
+            regular[glyph].draw(regularStats)
+            black[glyph].draw(blackStats)
+            expanded[glyph].draw(expandedStats)
+
+        assert abs(regularStats.area) < abs(blackStats.area)
+        assert abs(expandedStats.area) < abs(blackStats.area)
+
+        assert regularStats.meanX < expandedStats.meanX
+
 
 if __name__ == "__main__":
     import sys
diff --git a/Tests/ttLib/tables/data/Amstelvar-avar2.subset.ttf b/Tests/ttLib/tables/data/Amstelvar-avar2.subset.ttf
new file mode 100644
index 0000000000..1361048713
Binary files /dev/null and b/Tests/ttLib/tables/data/Amstelvar-avar2.subset.ttf differ