Now the Serie A club's technical director, the Italian was diagnosed after experiencing symptoms and his son Daniel, a player for the Rossoneri, is also suffering the illness.
Right winger Daniel is currently playing for the Milan Under-19s and made his first-team debut earlier this season.
A statement on Milan's website read: "AC Milan confirms that Paolo Maldini, the club's technical director, became aware of contact with a person who subsequently tested positive for coronavirus and began to display symptoms of the virus himself.
"He was administered with a swab test yesterday, the result of which was positive. His son Daniel, a forward in AC Milan's youth team who had previously been training with the first team, also tested positive.