Argentine newspapers Clarin and Ole claim the World Cup winner suffered a cardiorespiratory arrest on Wednesday morning local time in the town of Tigre.
He had only turned 60 on October 30 and was released from hospital a couple of weeks ago following brain surgery.
Widely considered to be perhaps the greatest football player who ever lived, Maradona reached the peak of his career in Serie A with Napoli from 1984-91.
He also played for Boca Juniors, Barcelona, Sevilla and Newell’s Old Boys before retiring back at Boca in 1997.
El Pibe de Oro then became a coach, including of the Argentina squad from 2008-10, most recently at Gimnasia La Plata.
His life and career were always overshadowed by addictions and recently his doctor had said he was relying on both medication and alcohol.