They went on to score 15 points without reply for their second group success overall while the Chiefs went down to their fourth defeat of the campaign and took over the basement place.

Ruaridh Jackson was the catalyst for that comeback although Exeter, who had made 10 changes from team who went down to London Wasps last weekend, saw outside half Henry Slade give the Sandy Park faithful the perfect start with a third minute penalty.

The low lying sun forced Slade to shield his eyes in glorious conditions and then his pack sent the Warriors eight into reverse at a scrum to keep the pressure firmly on the visitors.

The Chiefs did score with the ball in hand, but only after TMO Irishman Seamus Flannery was called into the action to confirm winger Fetu’u Vainikolo had crossed from close range, and although Slade added the conversion Glasgow hit back immediately.

They switched the direction of attack twice before wing Sean Maitland went over for an unconverted try.

And their adventurous approach – with Jackson at the heart of everything, asking question after question of the home defence – paid dividends again just six minutes before the break with Sean Lamont cashing in and Stuart Hogg adding the conversion to nudge them ahead for the first time.

Glasgow, who included 12 internationals – including three 2013 British & Irish Lions – in their starting line-up, had won the Round 2 contest between the clubs 20-16 and Hogg opened up a five-point advantage with his 49th minute penalty goal.

To add to the Exeter pain Slade was off target with a penalty chance of his own before the flood of replacements meant both benches were cleared with 11 minutes remaining on the clock.

Glasgow held firm in the closing stages and will now take on Toulon at Scotstoun Stadium while the Chiefs take on Cardiff Blues at Cardiff Arms Park in Round 6.