Bath wing Matt Banahan scored a brace of tries as his side completed the double over Glasgow in Pool 5
And Glasgow coach Sean Lineen has vowed not to concede any more ground in Pool 5 despite seeing his side slump to a fourth successive defeat.
Banahan's double strike saw Bath complete the double over their Scottish rivals, but once again it was another topsy-turvey contest between two free-flowing sides.
"We got a trip to Toulouse and a home clash with the Dragons to come in this season's Heineken Cup and we will be going full out to try to get a win," said Lineen.
"We don't want to go through the whole campaign without a victory and we still believe we can have an influence on the Pool. Going to Toulouse is going to be very difficult and the home clash with the Dragons in Round 6 is going to be a huge game for us.
"We are learning as a team, but we were guilty of giving Bath far too much time on the ball. We made it a bit too easy for them.
"They like playing rugby and, if the weather stays fine for them, I think they can do some real damage in the tournament. I like the way they approach the game."