Torquay maintained their unbeaten start to the League Two season as the Devon derby finished goalless at Plainmoor.
The Gulls pulled off a league double against Plymouth Argyle last season, but neither side was unable to break the deadlock this time around.
Torquay had the better of the first half, Argyle keeper Jake Cole saving from Ian Morris, while Lee Mansell twice went close.
Striker Warren Feeney also twice went near to scoring for the visitors.
Torquay stand 11th, having drawn four of their first five games, on seven points - six places above Carl Fletcher's Plymouth, who have now picked up four points from their last two matches.
New Plymouth signing Guy Madjo came on as a second-half substitute.
The 28-year-old striker has joined on a one-month loan deal from League Two rivals Aldershot.
VIEW FROM THE DRESSING ROOM
Plymouth Argyle manager Carl Fletcher told BBC Radio Devon:
"We knew it would be a tough game today coming away to Torquay, they don't lose many games at home and they've got a good side.
"First half we looked nervous but second half I think we played really well and on another day could have nicked a goal.
"I thought both my full-backs were terrific today, they had a tough task, but they stuck to it and did really well."
"We're proving every time we play, and if you get good results you build confidence, the lads are good players it's just getting that belief in them."