The Blues left Firhill empty handed after a disappointing night of rugby.
Cardiff Blues - minus their international contingent - were turned over at Firhill on Friday night in a 28-0 defeat.
Glasgow are now placed second on the Magners League table, inspiring coach Sean Lineen to say: "Second in the league might be a little foreign to us, but Glasgow is an exciting place to be right now.
"The guys could now either get a bit dizzy or just say, 'right, we're on to something special here'."
Tries from Mark McMillan, Max Evans (2) and Lome Fa'atau helped to the victory.
But the Blues, who are not enjoying the best of league campaigns, clearly missed Wales squad members Martyn Williams, Jamie Roberts, Tom Shanklin, Gethin Jenkins, Leigh Halfpenny and Andy Powell and injured former All Black Xavier Rush.
Their cause was not helped when instrumental fly half Nicky Robinson left the field injured after just 11 minutes.
With just 11 points from six games played, Dai Young's side face a race with the Dragons for automatic Heineken Cup qualification. The Blues are one point, and one place, ahead of the Gwent side, who have 10 points from six matches.
The unique jeopardy of Judgement Day V has been described by stars from Cardiff Blues, Ospreys, Scarlets and Newport Gwent Dragons who will face each other in the annual double-header at Principality Stadium on 15th April.
School club hub officers in schools throughout Wales are enriching lives by helping pupils to engage more with their education, their community and improve their own outlook on life and future prospects by improving confidence and developing skills such as leadership.
WRU chief executive Martyn Phillips, WRU chairman Gareth Davies and Dragons chief executive Stuart Davies discuss the historic intentions of the governing body to assume operational control of the Newport Gwent Dragons, with a targeted completion date of 1st July.
Equal access to facilities and resources at St Helen's has seen Swansea Women flourish since being welcomed with open arms last July. Swansea RFC chairman Stephen Hughes and women's captain Siwan Lillicrap are delighted to see rapid progress being made on and off the pitch.
Young referee Ben Breakspear is making rapid strides as a referee. In just over a year he has gone from officiating a college game to being a touchline official during last weekend's RBS 6 Nations clash between Wales and Ireland at Principality Stadium.
Grand Slams, Triple Crowns and British and Irish Lions tours - Sir Gareth Edwards did it all. But what are his favourite moments in what was an amazing career? WRU TV finds out - along with his favourite players of today in the third and final instalment of our series with the greatest rugby player ever.
JPR Williams, Gerald Davies and Mervyn Davies were among those in the Welsh ranks when Sir Gareth Edwards began his international career against France nearly 50 years ago, but who was the player who took the young scrum half under their wing?
Wales head coach Rob Howley and captain Alun Wyn Jones are expecting a physical battle against France on Saturday but both are hoping for another impact from the bench as the men in red chase a top-four world ranking.
It's nearly 50 years since the great Sir Gareth Edwards made his debut as a youngster for Wales against France in Stade Colombes. In the first of a series, WRU TV discovers he pocketed a 'special momento' from the game - something he still has today.