Diaz made 148 appearances in all competitions across four seasons at Liverpool, scoring 41 goals and registering 23 assists.
His best performance in the Premier League came last season, when he helped Liverpool to their record-equalling 20th English top-flight title.
Bayern Munich have signed Colombian winger Luis Diaz from Liverpool on a four-year contract, the Bundesliga club said on Wednesday.
Financial details of the transfer were not revealed but British media reported Bayern paid around 75 million euros ($86.67 million) for the 28-year-old Colombia international.
