Saturday marked 15 years to the day since an Owen Coyle brace last gave the Steelmen victory at Rangers Ibrox.
With Henrik Ojamaa and Chris Humphrey both spurning glorious chances to claim three points for Well the Fir Park skipper admitted the away dressing room was a frustrated place at full-time.
He said: "I found out on the team bus on the way to Ibrox it had been 15 years to the day since we'd won there and certainly I don't think we have had a better chance to do so since that win.
"The most frustrating thing for us is that we had the better chances.
"Feeling that way was a lot better than it usually is after we've completed 90 minutes at Rangers. For me all of that just sums up how far we have come over the course of the season."
Despite the frustration, Lasley can be pleased with a superb personal performance in which he was by some distance the game's outstanding midfield figure.
Indeed, had Ojamaa shown more belief in himself after rounding Allan McGregor in six minutes rather than cutting back for Jamie Murphy Motherwell would have had the dream start.
Amazingly after 59 minutes Humphrey also took the wrong option when clean through on the Gers No.1. He also saw his self-belief desert him by squaring the ball when testing McGregor was the only option worth exploring.
Motherwell did not want for menace in the final third with Murphy and Ojamaa giving the Ibrox defence a testing time. And Lasley believes his team-mates can take confidence in their display as they look to the Champions League qualifiers.
He said: "We know that whoever we get in the Champions League qualifiers will be a top side. So when you go away in Europe it is vital you keep the ball and use it well.
"I thought in terms of possession that was the best we have been at Ibrox in my two spells with Motherwell."
Now Lasley is hopeful of concluding a new deal with Well this week.
He said: "There are a few of us in the same boat and I think it is important that we try and keep the nucleus of the side and squad together."