Motherwell took the lead in the seventeenth minute. The Killie defence failed to clear a corner kick and Alex Burns ad the simple task of firing the loose ball home from 4 yards.
Killie responded within three minutes with an equaliser coming from a corner kick of their own. Joly's inswinger found Gary Wales at the near post and he contrived to flick a header backwards beyond Barry-John Corr.
Eic Joly began to dominate the match with his sure-footed control and passing, and Killie were in the ascendancy.
Ian Durrant changed his front two at half-time replacing Wales and Thomas Coyne with di Giacomo and midfielder Scott Johnstone and pushing James Fowler into a striking role.
Di Giacomo was soon in the thick of the action with a trademark run down the right wing which was followed shortly after by a mazy jinking run which almost created an opening.
It was Joly who came closest to giving his side the lead with two great free-kicks.
The first was from a central position, at around 22 yards range which he struck forcefully over the wall. The ball was dipping under the crossbar, but Corr pulled off an excellent save to touch the ball over. His next effort was much more imaginative when from a free kick wide of the penalty box on the right hand side, he completely wrong-footed the goalkeeper as he shot for goal only to see the ball skid of the face of the crossbar.
He was not to be denied, and with twelve minutes remaining, he found the back of the net. Corr miskicked a clearance which fell to Joly twenty five yards out. He took a touch to control the ball before a swerve of the hips sent two recovering defenders out of the game and allowed him to look up and gently lob the ball over the goalkeeper and in under the bar.