diff --git a/python/afdko/ttfcomponentizer.py b/python/afdko/ttfcomponentizer.py
index 64d6eb222..6ec9e30f2 100644
--- a/python/afdko/ttfcomponentizer.py
+++ b/python/afdko/ttfcomponentizer.py
@@ -18,7 +18,7 @@
 from defcon import Font
 
 
-__version__ = '0.1.1'
+__version__ = '0.2.0'
 
 
 PUBLIC_PSNAMES = "public.postscriptNames"
@@ -176,12 +176,24 @@ class ComponentsData(object):
     def __init__(self):
         self.names = ()
         self.positions = ()
+        self.same_advwidth = False
 
     def add_component(self, name, pos):
         self.names += (name,)
         self.positions += (pos,)
 
 
+def check_1st_comp_advwidth(glyph):
+    """
+    Returns True if the advance width of the composite glyph is the same as
+    the advance width of its first component, and False otherwise.
+    This information is essential for setting the flag of the composite's
+    first component later on.
+    """
+    font = glyph.getParent()
+    return glyph.width == font[glyph.components[0].baseGlyph].width
+
+
 def get_composites_data(ufo, ps_names):
     """
     Iterate thru each glyph of a UFO and collect the names and positions of
@@ -201,12 +213,14 @@ def get_composites_data(ufo, ps_names):
         if glyph.components and not len(glyph):
             components = ComponentsData()
             all_comps_are_basic = True
-            for comp in glyph.components:
+            for i, comp in enumerate(glyph.components):
                 if comp.transformation[:4] != (1, 0, 0, 1):
                     all_comps_are_basic = False
                     break
                 comp_name = ps_names.get(comp.baseGlyph, comp.baseGlyph)
                 components.add_component(comp_name, comp.transformation[4:])
+                if i == 0:
+                    components.same_advwidth = check_1st_comp_advwidth(glyph)
             if all_comps_are_basic:
                 glyf_name = ps_names.get(glyph.name, glyph.name)
                 composites_data[glyf_name] = components
@@ -222,7 +236,9 @@ def assemble_components(comps_data):
         component = getTableModule('glyf').GlyphComponent()
         component.glyphName = cname
         component.x, component.y = comps_data.positions[i]
-        component.flags = 0x204 if i == 0 else 0x4
+        component.flags = 0x4
+        if i == 0 and comps_data.same_advwidth:
+            component.flags = 0x204
         components.append(component)
     return components
 
diff --git a/tests/ttfcomponentizer_data/expected_output/ttfcomponentizer.ttx b/tests/ttfcomponentizer_data/expected_output/ttfcomponentizer.ttx
index d63943d9d..174ad32c8 100644
--- a/tests/ttfcomponentizer_data/expected_output/ttfcomponentizer.ttx
+++ b/tests/ttfcomponentizer_data/expected_output/ttfcomponentizer.ttx
@@ -1,14 +1,14 @@
 <?xml version="1.0" encoding="UTF-8"?>
-<ttFont sfntVersion="\x00\x01\x00\x00" ttLibVersion="3.28">
+<ttFont sfntVersion="\x00\x01\x00\x00" ttLibVersion="3.33">
 
   <maxp>
     <!-- Most of this table will be recalculated by the compiler -->
     <tableVersion value="0x10000"/>
-    <numGlyphs value="11"/>
+    <numGlyphs value="12"/>
     <maxPoints value="61"/>
     <maxContours value="5"/>
-    <maxCompositePoints value="45"/>
-    <maxCompositeContours value="3"/>
+    <maxCompositePoints value="74"/>
+    <maxCompositeContours value="4"/>
     <maxZones value="1"/>
     <maxTwilightPoints value="0"/>
     <maxStorage value="0"/>
@@ -106,6 +106,11 @@
       <instructions/>
     </TTGlyph>
 
+    <TTGlyph name="aa" xMin="52" yMin="-12" xMax="873" yMax="498">
+      <component glyphName="a" x="0" y="0" flags="0x4"/>
+      <component glyphName="a" x="440" y="0" flags="0x4"/>
+    </TTGlyph>
+
     <TTGlyph name="aacute" xMin="52" yMin="-12" xMax="433" yMax="781">
       <component glyphName="a" x="0" y="0" flags="0x204"/>
       <component glyphName="uni0301" x="263" y="0" flags="0x4"/>
diff --git a/tests/ttfcomponentizer_data/input/ttfcomponentizer.ttf b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ttf
index 33fe19577..a92dd9ff5 100644
Binary files a/tests/ttfcomponentizer_data/input/ttfcomponentizer.ttf and b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ttf differ
diff --git a/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/glyphs/aa.glif b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/glyphs/aa.glif
new file mode 100644
index 000000000..25e50c022
--- /dev/null
+++ b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/glyphs/aa.glif
@@ -0,0 +1,8 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<glyph name="aa" format="1">
+	<advance width="944"/>
+	<outline>
+		<component base="a"/>
+		<component base="a" xOffset="440"/>
+	</outline>
+</glyph>
diff --git a/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/glyphs/contents.plist b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/glyphs/contents.plist
index 72ef25ebb..59c97ed09 100644
--- a/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/glyphs/contents.plist
+++ b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/glyphs/contents.plist
@@ -6,6 +6,8 @@
 		<string>_notdef.glif</string>
 		<key>a</key>
 		<string>a.glif</string>
+		<key>aa</key>
+		<string>aa.glif</string>
 		<key>aacute</key>
 		<string>aacute.glif</string>
 		<key>acaron</key>
diff --git a/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/lib.plist b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/lib.plist
index 00e1289d3..ad186c345 100644
--- a/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/lib.plist
+++ b/tests/ttfcomponentizer_data/input/ttfcomponentizer.ufo/lib.plist
@@ -18,6 +18,7 @@
 			<string>tildecmb</string>
 			<string>caroncmb</string>
 			<string>dieresiscmb</string>
+			<string>aa</string>
 		</array>
 		<key>public.postscriptNames</key>
 		<dict>
diff --git a/tests/ttfcomponentizer_test.py b/tests/ttfcomponentizer_test.py
index 6ec515736..4aa6410cd 100644
--- a/tests/ttfcomponentizer_test.py
+++ b/tests/ttfcomponentizer_test.py
@@ -99,7 +99,7 @@ def test_run_with_output_path():
     gtable = TTFont(save_path)['glyf']
     composites = [gname for gname in gtable.glyphs if (
         gtable[gname].isComposite())]
-    assert sorted(composites) == ['aacute', 'uni01CE']
+    assert sorted(composites) == ['aa', 'aacute', 'uni01CE']
 
 
 def test_run_cli_with_output_path():
@@ -221,17 +221,19 @@ def test_get_composites_data():
     comps_data = ttfcomp.get_composites_data(ufo, ps_names)
     comps_name_list = sorted(comps_data.keys())
     comps_comp_list = [comps_data[gname] for gname in comps_name_list]
-    assert comps_name_list == ['aacute', 'adieresis', 'atilde', 'uni01CE']
-    assert comps_comp_list[0].names == ('a', 'uni0301')
-    assert comps_comp_list[3].names == ('a', 'uni030C')
-    assert comps_comp_list[0].positions == ((0, 0), (263.35, 0))
-    assert comps_comp_list[3].positions == ((0, 0), (263, 0))
+    assert comps_name_list == ['aa', 'aacute', 'adieresis', 'atilde',
+                               'uni01CE']
+    assert comps_comp_list[1].names == ('a', 'uni0301')
+    assert comps_comp_list[4].names == ('a', 'uni030C')
+    assert comps_comp_list[1].positions == ((0, 0), (263.35, 0))
+    assert comps_comp_list[4].positions == ((0, 0), (263, 0))
 
 
 def test_assemble_components():
     comps_data = Object()
     setattr(comps_data, 'names', ('a', 'uni01CE'))
     setattr(comps_data, 'positions', ((0, 0), (263, 0)))
+    setattr(comps_data, 'same_advwidth', True)
     comp_one, comp_two = ttfcomp.assemble_components(comps_data)
     assert comp_one.glyphName == 'a'
     assert comp_two.glyphName == 'uni01CE'