diff --git a/sqldelight-compiler/dialect/src/main/kotlin/app/cash/sqldelight/dialect/api/TypeResolver.kt b/sqldelight-compiler/dialect/src/main/kotlin/app/cash/sqldelight/dialect/api/TypeResolver.kt
index 4fbc778c46f..1d99ce9a9f1 100644
--- a/sqldelight-compiler/dialect/src/main/kotlin/app/cash/sqldelight/dialect/api/TypeResolver.kt
+++ b/sqldelight-compiler/dialect/src/main/kotlin/app/cash/sqldelight/dialect/api/TypeResolver.kt
@@ -57,10 +57,18 @@ fun TypeResolver.encapsulatingType(
   val types = exprList.map { resolvedType(it) }
   val sqlTypes = types.map { it.dialectType }
 
-  val type = typeOrder.lastOrNull { it in sqlTypes }
-    ?: if (PrimitiveType.ARGUMENT in sqlTypes && typeOrder.size == 1) {
+  if (PrimitiveType.ARGUMENT in sqlTypes) {
+    if (typeOrder.size == 1) {
       return IntermediateType(typeOrder.single())
-    } else error("The Kotlin type of the argument cannot be inferred, use CAST instead.")
+    }
+    val otherFunctionParameters = sqlTypes.distinct() - PrimitiveType.ARGUMENT
+    if (otherFunctionParameters.size == 1) {
+      return IntermediateType(otherFunctionParameters.single())
+    }
+    error("The Kotlin type of the argument cannot be inferred, use CAST instead.")
+  }
+
+  val type = typeOrder.last { it in sqlTypes }
 
   if (!nullableIfAny && types.all { it.javaType.isNullable } ||
     nullableIfAny && types.any { it.javaType.isNullable }
diff --git a/sqldelight-compiler/src/test/kotlin/app/cash/sqldelight/core/BindArgsTest.kt b/sqldelight-compiler/src/test/kotlin/app/cash/sqldelight/core/BindArgsTest.kt
index b9d9296e066..34977a2363b 100644
--- a/sqldelight-compiler/src/test/kotlin/app/cash/sqldelight/core/BindArgsTest.kt
+++ b/sqldelight-compiler/src/test/kotlin/app/cash/sqldelight/core/BindArgsTest.kt
@@ -307,6 +307,49 @@ class BindArgsTest {
       .isEqualTo("The Kotlin type of the argument cannot be inferred, use CAST instead.")
   }
 
+  @Test fun `bind arg kotlin type can be inferred with other types`() {
+    val file = FixtureCompiler.parseSql(
+      """
+      |CREATE TABLE dummy(
+      |  foo INTEGER
+      |);
+      |
+      |inferredNullableLong:
+      |SELECT 1
+      |FROM dummy
+      |WHERE MAX(1, :input) > 1;
+      """.trimMargin(),
+      tempFolder,
+    )
+
+    file.findChildrenOfType<SqlBindExpr>().map { it.argumentType() }.let { args ->
+      assertThat(args[0].dialectType).isEqualTo(PrimitiveType.INTEGER)
+      assertThat(args[0].javaType).isEqualTo(Long::class.asClassName().copy(nullable = true))
+    }
+  }
+
+  @Test fun `bind arg kotlin type cannot be inferred with other different types`() {
+    val file = FixtureCompiler.parseSql(
+      """
+      |CREATE TABLE dummy(
+      |  foo INTEGER
+      |);
+      |
+      |differentSqlTypes:
+      |SELECT 1
+      |FROM dummy
+      |WHERE MAX(1, 'FOO', :input) > 1;
+      """.trimMargin(),
+      tempFolder,
+    )
+
+    val errorMessage = assertFailsWith<IllegalStateException> {
+      file.findChildrenOfType<SqlBindExpr>().single().argumentType()
+    }
+    assertThat(errorMessage.message)
+      .isEqualTo("The Kotlin type of the argument cannot be inferred, use CAST instead.")
+  }
+
   @Test fun `bind args use proper binary operator precedence`() {
     val file = FixtureCompiler.parseSql(
       """
diff --git a/sqldelight-gradle-plugin/src/test/custom-dialect/src/main/sqldelight/schema/Foo.sq b/sqldelight-gradle-plugin/src/test/custom-dialect/src/main/sqldelight/schema/Foo.sq
index bbe3af719ba..8d42d71a8a0 100644
--- a/sqldelight-gradle-plugin/src/test/custom-dialect/src/main/sqldelight/schema/Foo.sq
+++ b/sqldelight-gradle-plugin/src/test/custom-dialect/src/main/sqldelight/schema/Foo.sq
@@ -7,3 +7,6 @@ SELECT foo(id) FROM foo;
 
 inferredType:
 SELECT 1 FROM foo WHERE foo(:inferred) NOT NULL;
+
+inferredTypeFromMax:
+SELECT 1 FROM foo WHERE max(1, :inferred);
diff --git a/sqldelight-gradle-plugin/src/test/custom-dialect/src/test/kotlin/Testing.kt b/sqldelight-gradle-plugin/src/test/custom-dialect/src/test/kotlin/Testing.kt
index caa1f55cd1e..e373264e9e7 100644
--- a/sqldelight-gradle-plugin/src/test/custom-dialect/src/test/kotlin/Testing.kt
+++ b/sqldelight-gradle-plugin/src/test/custom-dialect/src/test/kotlin/Testing.kt
@@ -7,25 +7,23 @@ import kotlin.time.Duration
 import kotlin.time.Duration.Companion.seconds
 
 class Testing {
-  @Test fun inferredCompiles() {
-    val fakeDriver = object : JdbcDriver() {
-      override fun getConnection() = TODO()
-      override fun closeConnection(connection: Connection) = Unit
-      override fun addListener(listener: Query.Listener, queryKeys: Array<String>) = Unit
-      override fun removeListener(listener: Query.Listener, queryKeys: Array<String>) = Unit
-      override fun notifyListeners(queryKeys: Array<String>) = Unit
-    }
-    FooQueries(fakeDriver).inferredType(1.seconds)
+  val fakeDriver = object : JdbcDriver() {
+    override fun getConnection() = TODO()
+    override fun closeConnection(connection: Connection) = Unit
+    override fun addListener(listener: Query.Listener, queryKeys: Array<String>) = Unit
+    override fun removeListener(listener: Query.Listener, queryKeys: Array<String>) = Unit
+    override fun notifyListeners(queryKeys: Array<String>) = Unit
   }
 
   @Test fun customFunctionReturnsDuration() {
-    val fakeDriver = object : JdbcDriver() {
-      override fun getConnection() = TODO()
-      override fun closeConnection(connection: Connection) = Unit
-      override fun addListener(listener: Query.Listener, queryKeys: Array<String>) = Unit
-      override fun removeListener(listener: Query.Listener, queryKeys: Array<String>) = Unit
-      override fun notifyListeners(queryKeys: Array<String>) = Unit
-    }
     val unused: Duration = FooQueries(fakeDriver).selectFooWithId().executeAsOne()
   }
+
+  @Test fun inferredCompiles() {
+    FooQueries(fakeDriver).inferredType(1.seconds)
+  }
+
+  @Test fun inferredTypeFromMaxIsLong() {
+    FooQueries(fakeDriver).inferredTypeFromMax(1L).executeAsOne()
+  }
 }