Jones’s side are now on nine points with Munster and Leinster, but sit below the Irish sides in the league table by virtue of having played five games to their three.
He watched his team come from behind to tie the match thanks to a late penalty by Gareth Owen.
Shaun Connor and Phil Godman traded penalties before Argentine prop Augusto Allori scored Edinburgh’s only try, with Godman converting.
A 25-metre Godman penalty put Edinburgh 10 points in front at half-time. But Osprey Jonny Vaughton crossed the line, Owen converted and then slotted his penalty to tie the match.