diff --git a/src/BRepAlgo/BRepAlgo_NormalProjection.cxx b/src/BRepAlgo/BRepAlgo_NormalProjection.cxx
index bd31fde08b..65bc1922e0 100644
--- a/src/BRepAlgo/BRepAlgo_NormalProjection.cxx
+++ b/src/BRepAlgo/BRepAlgo_NormalProjection.cxx
@@ -334,7 +334,7 @@ void BRepAlgo_NormalProjection::SetDefaultParams()
 	  
 	  if(Only2d && Only3d) {
 	    BRepLib_MakeEdge MKed(GeomAdaptor::MakeCurve(hcur->Curve()), 
-				  Ufin, Udeb);
+				  Udeb, Ufin);
 	    prj = MKed.Edge();
 	    BB.UpdateEdge(TopoDS::Edge(prj), 
 			  PCur2d, 
diff --git a/tests/bugs/modalg_8/bug32864 b/tests/bugs/modalg_8/bug32864
new file mode 100644
index 0000000000..fd3afdb019
--- /dev/null
+++ b/tests/bugs/modalg_8/bug32864
@@ -0,0 +1,21 @@
+puts "========================================================================="
+puts "OCC32864: Normal projection of a wire on a cylinder produces wrong result"
+puts "========================================================================="
+puts ""
+
+restore [locate_data_file bug32864.brep] a
+explode a
+
+nproject result a_2 a_1
+
+checkshape result
+
+checknbshapes result -t -edge 8 -vertex 16
+
+set tolres [checkmaxtol result]
+
+if { ${tolres} > 0.0001} {
+   puts "Error: bad tolerance of result"
+}
+
+checkprops result -l 37.1616