Fu will get a little extra satisfaction in beating last year’s runner up following Allen’s ill advised accusations of cheating by the man from Hong Kong.
The world number 24 moves into the second round where he will play the winner of Matthew Stevens and Dominic Dale.
Fu started excellently, a break of 91 taking the first frame in one visit. He had a chance to take the second frame as well, but a poor safety gave Allen the chance to win it, and he did, the Northern Irishman taking it on the black.
The reply from Fu was devastating though as he hit two consecutive centuries, the first a tournament equalling high break of 131, the second a tidy 121.
He followed that with a break of 66 in the fifth to move into a 4-1 lead. Allan replied with a knock of 42, then a 21, but in what was perhaps the turning point, the favourite missed a straightforward frame ball into the middle pocket and Fu cleared up with a break of 65 to steal the frame by two points.
Allan clawed a couple of frames back, breaks of 69 and 46 making it a contest; but Fu made sure at 5-3, as break of 61 was followed by 59 clearance to seal the win.
In the evening session’s other contest, Stuart Bingham beat the inexperienced youngster Jack Lisowski 6-2.
Lisowski got off to a great start to take the opening frame, but some wild shot selections and wayward right handed cueing gave Bingham the impetus he needed to take charge.
Bingham will now play Stephen Maguire, who won out against Fergal O’Brian on Saturday.
The first frame was won by Lisowski after a fluent break of 67. Bingham looked nervy in the early stages and missed some simple balls, giving the underdog a look in.
They were a couple of scrappy second and third frames, but both claimed by Bingham after Lisowski played slightly recklessly.
Lisowski continued to go for his Trump-esque shots, but Bingham replied with a knock of 68 in the fourth to clear the table and take a sizeable lead going into the mid-session interval.
The youngster got himself back into it with a break of 44 to reduce the deficit to a single frame, but from there the world number 11 ran away with it, taking the sixth, seventh and eighth frames with ease, the latter two involving a couple of half centuries.