Australia's Neil Robertson advanced into the semi-finals of the UK Championships after the former world champion beat China's Ding Junhui 6-2 here on Thursday.
Robertson, world champion in 2010, was locked at 2-2 with two-time UK winner Ding at the mid-session interval.
But the left-hander then won the next four successive frames, later saying his enjoyment of high-stakes matches had helped propel him to this victory in snooker's second most important event.
"When there is more riding on the match I tend to play a lot better," Robertson said. "I just love winning tournaments and playing in semi-finals and finals, and today I felt so confident and was convinced I was going to win."
Trump, echoing Robertson's comments, told the BBC: "When I am out there now I just feel so confident in front of the cameras.
Trump, who beat former world champion Ronnie O'Sullivan 6-5 in the second round, added: "I'm probably practising the least amount I have all season but playing the best. I'm just trying to enjoy myself off the table and completely forget about snooker."
Northern Ireland's Allen, who faces the prospect of disciplinary and even legal action as a result of his outspoken attack on world snooker supremo Barry Hearn, won the first two frames before Fu drew level at 2-2.
Allen then won the next two for a 4-2 lead but breaks of 131 and 63 saw Fu square the match again at 4-4.
The 33-year-old Fu then went into the lead for the first time by taking the ninth frame only for Allen to restore parity at 5-5 and then take the decider.
Meanwhile, Ali Carter appeared to pull back from his stated intention to retire at the end of the season.
Following his 6-2 second-round loss to Allen on Wednesday, Carter told his Twitter followers: "Going to retire at the end of the season! And I can't wait!
"I'm dead serious, life is too short to do something you don't enjoy, 25 years is enough! Pastures new...."
However, the former World Championship finalist said on Thursday: "Thanks for all your messages. Maybe I should have kept my thoughts to myself!
"They were obviously in the heat of the moment but I also genuinely have some serious thinking to do about my future at the end of this season and what direction I want to head," added the Englishman.
Source: AFP European Edition