Dunne pounced after the Turkish keeper dropped Stephen Carr's corner, levelling the score at 2-2 in injury time. David Connolly put the Irish ahead before Turkey struck back in the second half.
Despite only playing against TNS in Cardiff this season, the big defender is still in the international picture for the Republic. His introduction on 75 minutes took him to 19 caps.
The goal wouldn't have come as much of a surprsie to Dunne. Although he has scored just one goal in 90 apearances for the Blues, this was his fourth goal in green.
The friendly in Dublin was a warm-up for the Turks ahead of their vital qualifier with England in October. Virtually all of the Irish squad plays in England.
The draw will please Irish manager, Kerr, as it protects his solid start but he must now concentrate on getting a result in Switzerland to reach Euro 2004.