Thomas Muller
Muller says he is more than happy to stay at BayernGetty

Bayern Munich forward Thomas Muller says he considered an offer from Manchester United but is happy to remain at the Allianz Arena.

Muller, 25, has openly discussed his "special relationship" with United boss Louis van Gaal in the past, having broken into the Bayern first team during the Dutchman's spell in charge at the Bavarian giants.

Despite receiving an "astronomical offer" from a foreign club, the Germany international opted to sign a new long-term contract with the Bundesliga champions last August, ending Van Gaal's hopes of bringing him to Old Trafford during his first summer at the club.

ESPN recently suggested United will look to kindle that interest this summer as part of their hugely ambitious plans that also include Real Madrid defender Sergio Ramos.

But when asked about interest from Old Trafford in his services, Muller told Bild: "When a request comes, automatically you deal with it.

"A request from a big club is an honour and a reward for good performances. But I feel happy at Bayern, and my contract runs until 2019. There is nothing more to say on these speculations."

United have also been credited with keen interest in Muller's teammate for club and country Bastian Schweinsteiger. The 31 year old is in the final year of his contract, and while Muller insists he will not advise the midfielder on what decision to make, he hopes he remains in Munich.

"I was on holiday so I have not seen Bastian lately. He will make a good decision on his future together with the club. Both parties won't ask me about my opinion on the matter.

"I would be happy to play alongside him as long as possible."

The Express suggests a move for Schweinsteiger could cost as little as £10m ($15.9m).

But the World Cup winner has since suggested his focus for next season is helping Bayern become the first side to win four Bundesliga titles in a row.

"We have won the Bundesliga for three consecutive times, no team has managed to win it four times. That is a motivation," he is quoted as saying by Sky Sports.

"I feel good and I am ready to play the next three years at the top level. That is my goal."