Manchester United pair Tom Cleverley and Danny Welbeck are hoping that they can better the success of last campaign, which saw the club claim their 20th league title.
Both were regulars in the side that gave Sir Alex Ferguson a farewell present in the form of the Premier League trophy, but they are now eager for even more medals at Old Trafford.
Speaking to Inside United magazine, Cleverley said: "Having that first title medal under your belt means a lot.
"It's a relief to get the first medal but it also makes you determined to win more."
On winning the league last year, the 24-year old midfielder added: "I don't just want that to happen once - I want it to happen many times.
"We've got that taste now and it makes us even hungrier."
Welbeck, who like Cleverley came through United's prestigious youth system, believes the competitive nature in all aspects of life at the club is the key to their success.
"No matter what situation or what game we're playing, whether it be a match or a five-a-side in training or even a possession exercise, you always want to win, " he said.
"It's always been like that here and it always will be."
The triumph of last season cemented United's place at the top of English football as they won the title at a canter, 11 points ahead of nearest challengers Manchester City.
Welbeck won his first league medal last time out and he is eyeing more silverware with the club he has been at since the age of eight.
He concluded: "It was a great achievement for everyone last season, but that's in the past.
"Now it's down to the players, the manager and everyone at the club to knuckle down and to create some more history."
David Moyes is charged with replicating Ferguson's success at Old Trafford, and will continue the club's challenge with the visit of Crystal Palace on Saturday.
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