diff --git a/changes/3.2.0.md b/changes/3.2.0.md
index 2805e6b63..675343941 100644
--- a/changes/3.2.0.md
+++ b/changes/3.2.0.md
@@ -12,4 +12,5 @@
  * Allow the user to customize the characters' width freely (#554).
  * Fix placement of descenders in U+04AC/U+04AD CYRILLIC CAPITAL/SMALL LETTER TE WITH DESCENDER (#585).
  * Fix shape of U+01A6 LATIN LETTER YR under curly variant (#586).
- * Fix serif placement of U+044E CYRILLIC SMALL LETTER YU under Bulgarian locale (#587).
\ No newline at end of file
+ * Fix serif placement of U+044E CYRILLIC SMALL LETTER YU under Bulgarian locale (#587).
+ * Make combining lines connect left and right (#590).
\ No newline at end of file
diff --git a/glyphs/overmarks.ptl b/glyphs/overmarks.ptl
index d9749d9da..c356b45b2 100644
--- a/glyphs/overmarks.ptl
+++ b/glyphs/overmarks.ptl
@@ -342,6 +342,17 @@ glyph-block Overmarks : begin
 			flat (SB - Width) (XH + Accent) [widths markHalfStroke markHalfStroke]
 			curl (RightSB - Width) (XH + Accent)
 
+		save 'sbOverlineAbove'
+
+	sketch # overlineAbove
+		set-width 0
+		currentGlyph.shortName = 'overline'
+		set-anchor 'above' MARK markMiddle XH markMiddle aboveMarkTop
+
+		include : dispiro
+			flat (0 - Width) (XH + Accent) [widths markHalfStroke markHalfStroke]
+			curl 0           (XH + Accent)
+
 		save 'overlineAbove' 0x305
 
 	sketch # dblOverlineAbove
@@ -350,8 +361,15 @@ glyph-block Overmarks : begin
 
 		local boxsw : Math.min (markFine * 2) ((aboveMarkTop - aboveMarkBot) / 3)
 
-		include : HBarBottom (SB - Width) (RightSB - Width) aboveMarkBot boxsw
-		include : HBarTop (SB - Width) (RightSB - Width) aboveMarkTop boxsw
+		include : dispiro
+			widths.lhs boxsw
+			flat (0 - Width) aboveMarkBot
+			curl 0           aboveMarkBot
+
+		include : dispiro
+			widths.rhs boxsw
+			flat (0 - Width) aboveMarkTop
+			curl 0           aboveMarkTop
 
 		save 'dblOverlineAbove' 0x33F
 
diff --git a/glyphs/symbol-math.ptl b/glyphs/symbol-math.ptl
index aa5af7f33..d767e341c 100644
--- a/glyphs/symbol-math.ptl
+++ b/glyphs/symbol-math.ptl
@@ -1402,7 +1402,7 @@ glyph-block Symbol-Math-APL : begin
 	composite [refer-glyph 'enquad'] [aplBoxed : refer-glyph 'increment'] [into-unicode 0x234D]
 	composite [refer-glyph 'enquad'] [Overlay [refer-glyph 'arrowup.NWID'] [refer-glyph 'minus']] [into-unicode 0x234F]
 	composite [refer-glyph 'enquad'] [aplBoxed : refer-glyph 'arrowup.NWID'] [into-unicode 0x2350]
-	composite [refer-glyph 'top'] MarkSet.tack [refer-glyph 'overlineAbove'] [clear-anchors] [into-unicode 0x2351]
+	composite [refer-glyph 'top'] MarkSet.tack [refer-glyph 'sbOverlineAbove'] [clear-anchors] [into-unicode 0x2351]
 	composite [refer-glyph 'enquad'] [Overlay [refer-glyph 'nabla'] [refer-glyph 'aplLongBar']] [into-unicode 0x2352]
 	composite [refer-glyph 'enquad'] [aplBoxed : refer-glyph 'wedge'] [into-unicode 0x2353]
 	composite [refer-glyph 'enquad'] [aplBoxed : refer-glyph 'nabla'] [into-unicode 0x2354]