A late Keith Earls try looked to have won it for the visitors, but Paul Marshall got a last gasp try which Paddy Jackson converted to level matters.
The results means three teams are on seventy points at the top of the table with one game to play.
They include: Ospreys, Glasgow Warriors and Munster.
Ulster are on 69 points after today’s draw with Anthony Foley's Munster.
Oisín Langan was at the game for TippFM Sport.
