Zurich Premiership leaders Bath continued their good form with a 32-25 away win over Colomiers in the first leg of their Parker Pen Challenge Cup tie.
Centre Andrew Higgins scored two second-half tries while Ollie Barkley kicked 12 points as Bath came from 18-12 down at half-time.
Saracens have one foot in the quarter finals after a 37-6 win over Glasgow with French international Thomas Castaignede scoring two tries and adding 12 points.
Both Newcastle Falcons and London Irish will carry narrow leads into their respective second legs in France next weekend.
Newcastle beat Montferrand 10-3 with England Sevens star Ben Gollings scoring a try, conversion and penalty for his side.
Irish secured a 20-13 win over Narbonne with fly-half Mark Mapletoft slotting five penalty goals and winger Justin Bishop scoring his side's only try.
In Sunday's other games, Beziers pipped Grenoble 19-15 while Brieve were 30-17 winners against Castres Olympique.
Harlequins fly-half Paul Burke almost single-handedly demolished a poor Montauban side as the English club virtually secured their passage into the quarter-finals.
Burke produced a superb display as Quins won 43-8, and it will take a huge shock for the French club to recover and win the second leg by enough points to qualify for the next round.
Burke set up all four first-half tries as the visitors sprinted to a 29-3
before the break, and his six goals from seven attempts kept his side in complete control throughout.
Connacht will take a 29-7 first-leg lead to France next weekend after scoring four tries against Pau .
Coach Michael Bradley continued his squad rotation policy and dropped regular out-half Eric Elwood to the bench.
Wing Rida Jaouher touched down to give the visitors an early lead but two tries from John O'Sullivan and one from Matt Mostyn put Connacht firmly in control.
Fly-half David Hewitt slotted three penalties for the dominant Irish side.
Rotherham went down 41-33 in the first leg of their Parker Pen Shield
first-round tie against Gran Rugby of Parma in Italy.
But with two tries from Michael Wood in injury time at the end of the match, both converted by Jon Benson, they gained some hope for the return leg at Millmoor.