The Paris club has confirmed that the Argentine forward missed Sunday’s training due to his reasons, which are believed to have been around his marriage to Wanda Nara.
It is thought Icardi flew to Milan to see his partner after cheating on him. His absence means he will miss their UEFA Champions League match.
Sergio Ramos also missed training on Monday morning as he continued to recover from injury. Fans were expected to see Spain’s first game last week but are expected to train for another 10 days.
Leandro Paredes will also miss Leipzig’s game with a hamstring injury but goalkeeper Keylor Navas has returned to training and should be available.