It was a bore draw and the Bees have now gone nine league games without a win.
But they will still derive more satisfaction from a poor match than Torquay.
It was the first time that the clubs had met since Torquay's dramatic 3-2 win at Underhill on the last day of the 2000-2001 season kept them in the league and sent Barnet down to the Conference.
Grazioli's calf strain forced manager Paul Fairclough to call Ben Strevens off the bench, but neither side carried any real threat in attack.
It took nearly half an hour for the fans to see a shot at goal and then it was a speculative 50-yarder by Barnet defender Ian Hendon which Torquay goalkeeper Andy Marriott had to tip over his bar.
Torquay were without injured loan signing John McAliskey up front and the suspended Darren Garner in midfield and they missed them both.
In a match riddled with mistakes and fouls Torquay were well below form and head coach Leroy Rosenior tried to inject some life with substitutions early in the second half which saw young midfielder Liam Coleman and Frenchman Malike Sako thrown into the fray but it did not prompt any real improvement.
Strevens missed Barnet's best chance in the 72nd minute, firing over when a weak header by Sako left him clear.
And in the last minute Torquay's Alan Connell should have won it instead of hitting a 12-yard volley straight at Ross Flitney.