Wasps saw their chances of advancing in the Heineken Cup dented after they were deservedly beaten by a committed Glasgow side whose pack turned in a tremendous performance.
Wasps had built a 10-6 first-half lead with an early try from Tom Varndell plus the conversion and a penalty from Dave Walder.
But when Glasgow went ahead with a cracking try finished by Colin Gregor on 50 minutes to add to three penalties from Ruaridh Jackson, Wasps had nothing to offer and Glasgow’s win was confirmed by a further penalty and drop-goal from Jackson.
Showing great initiative Glasgow, on receiving the opening kick, ran the ball and moved from deep in their own 22 to the other end where a penalty was awarded and Jackson opened the scoring in just the second minute.
Dave Walder equalised four minutes later with a strike from just over halfway and six minutes later Wasps scored the opening try. Despite his scrum being put on the back foot in midfield, number nine Joe Simpson found a huge amount of space before throwing a long pass to Tom Varndell on the left wing who cruised home and Walder converted from the touchline.
Glasgow dominated the middle part of the half, moving the ball well with flanker Richie Vernon particularly catching the eye. However the Wasps’ defence was never really tested and all Glasgow had to show was a 15th-minute Jackson penalty.
In the 38th minute Walder had a chance to push Wasps further ahead after Glasgow prop Moray Low was penalised for pulling down the scrum. From very wide on the sodden pitch and just two metres into the Glasgow half, the stand-off’s attempt passed just under the bar so Wasps went in leading 10-6.
Four minutes after the restart Wasps gave away a silly penalty on their own 22 in front of the posts when a hand from a maul interfered with home scrum-half Gregor.
Jackson kicked the points and six minutes later things got worse for the London side. Glasgow spread the ball wide to left winger Colin Shaw, who stepped inside and produced a great run that ended with him putting in Gregor for an unconverted try, putting Glasgow into a 14-10 lead.
Wasps now host Toulouse next week looking for a five points to zero win over the reigning European champions.