Vicente del Bosque and Cesc Fabregas were involved in a minor confrontation during Spain's training session on Saturday, AS.com has reported.
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Footage of the incident appears to show the Spain coach becoming annoyed by Fabregas' lack of interest during the workout before telling him to hand his training bib to Xabi Alonso.
AS said the 27-year-old, who has agreed to join Chelsea from Barcelona later this summer, followed his orders but continued to show a lack of interest while carrying out the request.
Fabregas is said to have been working out at a slower pace than the rest of the players, displaying an air of apparent apathy, and Del Bosque was not impressed.
The newspaper reports that Fabregas believes Del Bosque has not been fair to him after demoting him from his starting lineup.
The midfielder was introduced as the third and final substitute during the 5-1 defeat to Netherlands and failed to play a single minute of the 2-0 loss to Chile.
At the news conference following the training session, Raul Albiol played down the incident.
"I didn't see anything odd," the Napoli defender said. "I imagine that he is as upset, as all the rest of the team are."
Despite the incident, AS expects Fabregas to remain under consideration for Spain's final game against Australia on Monday.