Bayern's CEO Karl-Heinz Rummenigge recently said that he doubted whether Milan would be able to afford the Portugal worldwide, who moved to Bayern from Benfica for a fee of €35 million a year ago.
"They have improved really quickly and already know our style of play and are doing a good job".
In a recent interview with "Bild", the 19-year-old also confessed that he wants more game time this season and he may have to leave the club this summer to find more playing opportunities.
Bayern's tour of Asia has seen the club return some mixed results with a penalty shootout loss to Arsenal followed by a 4-0 thrashing by AC Milan in China, before an improved performance against the English champions in Singapore. We all had a good game overall and a lot of players played well.
"He always represented FC Bayern's never-say-die mentality". If there was a chance of it happening and the two clubs agree, I would consider it.
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"One midfield player would give me more options", Mourinho told the BBC.
The Colombia worldwide moved to the Spanish capital after starring in the 2014 World Cup, but - despite initially impressing - fell down the pecking order at the Santiago Bernabeu under Zinedine Zidane. "We are hoping for a good test and are focused on a number of things - good play, defence, balance and attack", Ancelotti added.
"I am here to win titles and am sure that we have the team and the coach to do it".
Looking ahead to the upcoming Bundesliga season, Ancelotti expects Bayern's main threat to come from Borussia Dortmund and last season's surprise runners-up RB Leipzig, who he believes may struggle with a heavier workload.