Bayern Munich have fined Luca Toni and Philipp Lahm for their conduct this weekend.

Toni left the stadium at half-time of the 1-1 draw with Schalke after being substituted by coach Louis van Gaal.

Lahm, on the other hand, criticised the club in an interview with the Suddeutsche Zeitung newspaper.

Both have been given a "considerable fine" for their conduct after being reprimanded by van Gaal and the club's chairman, Karl-Heinz Rummenigge, before training on Sunday.

"Leaving the stadium early and without permission on Saturday during the Bundesliga game at the Allianz Arena was an unacceptable lack of discipline on the part of Luca Toni," read a club statement.

"He has therefore been given a considerable fine by the board. Independent of this, Luca Toni has since apologised to his team-mates and the club for his conduct.

"Philipp Lahm, in his role as vice-captain, has broken the club's internal rules in a clear and inexcusable manner by publicly attacking the club, the coach and his team-mates in an interview."

Rummenigge said he and the board were "disappointed, because he is the vice-captain here and holds a particular responsibility for the team and the club".

He added: "Philipp Lahm will therefore be given a fine, the size of which FC Bayern have never dealt out before."

Reports suggest Lahm will have to cough up 30,000 euros for the interview, which contravened the new club rules introduced at the start of the season that state no player is allowed to give an interview without the club's consent.

If this consent is granted, the player is then obliged to obtain and show club bosses a copy of the interview before its publication.

By failing to do this, Lahm particularly incensed the club's general manager, Uli Hoeness.

"I will not criticise him in public and I will only talk about his performance in my office but what I can say is that it would have been better had he not given this interview," said Hoeness on Saturday.

"He has broken club rules and he is going to regret it."

Hoeness believes Lahm's agent Roman Grill may have been behind the interview.

Grill also represents Manchester United star Owen Hargreaves and was instrumental in the sale of the England international in 2006, and Hoeness believes he is now trying to earn one of his other clients a lucrative move.

"I can see Roman Grill's handwriting on this," said Hoeness on ARD television.

"It's not going to be a good week for him either. He wants to sell another of our players again."