Newcastle failed to reach the quarter-finals of the Parker Pen Challenge Cup after losing 25-13 to Montferrand.
The Falcons held a 10-3 lead from the first leg and when James Grindall scored an early try they looked to be on course for another win in France.
But Montferrand's pack asserted their dominance in the second half and three quick tries ended Falcons' hopes.
There was better luck for Bath and Harlequins who surged into the last eight with easy home wins on Saturday.
Andrew Beattie and Scott Gray grabbed tries at the Recreation Ground to see off Colomiers 26-17.
Ollie Barkley set the Zurich Premiership leaders on the way with two quick penalites.
The fly-half did slip up when he let in winger Yannick Larguet who toed the ball ahead to score a try and give the visitors a shock lead.
But Beattie was quickly driven over in the second half before Gray's try sealed the aggregate 58-42 victory.
Harlequins had little trouble defending their 35-point cushion from the first leg as they eased past Montauban 36-17.
Matt Moore scored two tries while Paul Burke added 11 points with his boot.
Montauban went into half-time with a glimmer of hope at The Stoop as Quins held an assailable 17-10 lead.
But Mark Evan's side simply moved up a gear as further tries from Roy Winters, Ben Willis and James Hayter put an end to the plucky French side's threat.
London Irish crashed out of Europe going down 29-10 to French side Narbonne.
Gary Gold's side travelled to France with a narrow 20-13 lead from the first leg but the French side dominated the match on home soil.
Cedric Rosalen quickly demolished the Exiles' lead as he slotted over three penalties and worse followed when Julien Candelon and Frederic Martinez touched down.
Michael Horak scored a lone try for Irish but it was not enough to stave off defeat.
Narbonne will meet Connacht in the quarter-finals whose healthy 29-7 home win in the first leg proved enough to see off Pau.
The Irish side lost 10-6 in France as Damien Traille and Rida Jaouher ran over in the second half but Connacht's passage to the next round was never in doubt.
On Friday, Glasgow produced a magnificent performance to hammer Saracens 33-5 but it was enough to keep them in Europe.
Having lost the first leg in London 37-6 in London, it looked like a mission impossible at Hughenden.
But the home team responded in style only to fall just three points short of pulling off a remarkable comeback.
Ben Skirving notched the only Saracens score but it was enough to take them through to the last eight.
In the Parker Pen Shield, Rotherham gave their fans something to cheer about as they defeated Italian club Gran Parma 44-33 on Sunday.
Full-back Jon Benson grabbed a try and kicked 12 points to guide the Titans to their first win of the season.
Rotherham now face a daunting match-up with favourites Viadana next weekend.