Rhinos led by 10 points with two minutes remaining, but the visitors scored back-to-back tries to level the scores at 20-20 and neither team could find a golden-point winner in extra-time.
The 10 added minutes wasn't what either side wanted at the start of the Easter fixture pile-up and Rhinos suffered one major injury blow.
The performance for all but the final few minutes of normal time will, though, give Leeds something to build on going into Monday's derby at Castleford Tigers.
Here's how the players rated.
The performance for all but the final few minutes of normal time will, though, give Leeds something to build on going into Monday's derby at Castleford Tigers.