The English champions must now win their remaining three games, including a clash with tournament favourites Toulouse in France, to have any hope of reaching the quarter finals.

But former England star Dallaglio believes the game is already up, and that Wasps have nobody to blame other than themselves.

“I am very disappointed and very angry with everyone, including myself,” he said.

“With the quality in our group it was going to be very difficult but we just weren’t good enough today.

“We are trading on our reputation of the last two or three years, and we have got no divine right to win any game. It is down to hard work, effort and energy.

“At the moment, one or two are putting it in, and one or two aren’t. We got what we deserved today,” Dallaglio added.

“We are out of Europe yes, and we are desperately disappointed because we want to win trophies. We are out of one competition, but very much involved in the other two, and we have just got to start playing the way we know we can.”

After losing to Edinburgh and drawing with Toulouse at home, Wasps knew they had to record their first group victory, otherwise they would be left staring at the exit door.

But Llanelli, who moved second in the pool, displayed greater hunger and composure as second-half tries from centre Dafydd James and wing Mark Jones, plus 11 points from the boot of fly half Gareth Bowen, saw them home.

Substitute flanker Tom Rees scored a late try for Wasps, but Alex King missed two of his four penalties, and the visitors made no real headway against a Llanelli pack inspired by the scrummaging power of veteran prop John Davies.

“We were nowhere near the standard we want to be at and our worst two away performances this season have been in the Heineken Cup,” said Wasps rugby director Ian McGeechan.

“We are really annoyed with ourselves, but we will be full-on in the next three European games and we intend to hurt a few people if we can.

“The game was nowhere near the pace we would have liked, and we gave all away. You cannot expect to win games if you do that.”

Llanelli will face Wasps in the return fixture at the Causeway Stadium next Sunday and Scarlets rugby director Gareth Jenkins knows his team have still got it all to do in their pursuit of group leaders Toulouse.

“Toulouse are still favourites, lets be realistic about that, and we’ve now got to go to Wasps next week,” Jenkins said.

“I thought John Davies was rightly man of the match, and he has earned the respect of everyone who would have watched that game today.

“He is unbreakable. The scrum wasn’t a problem for us, and John is still a player that deserves all the respect he’s got.”