Bayern Munich chief executive Karl-Heinz Rummenigge has been "very satisfied" with Philippe Coutinho's performances since his summer arrival from Barcelona.
The 27-year-old completed a season-long loan switch to Allianz Arena on August 16, after spending just one full season at Camp Nou.
Coutinho joined Barca from Liverpool after five successful years at Anfield for £140 million ($184m) in January 2018, but has failed to live up to expectations in Spain.
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Ernesto Valverde deemed the Brazil international surplus to requirements ahead of the 2019-20 campaign and Bayern pounced on his uncertain position, which has, so far, proved a shrewd piece of business.