The 32-year-old will become a free next month following a four-year stint at the Santiago Bernabeu.
His contract was due to expire next summer, but Real Madrid made the decision to TERMINATE his deal at the beginning of June.
Following the announcement of his departure, many reports suggested that Hazard would retire from professional football.
However, Belgian journalist Sacha Tavolieri claims he could join his brother, Kylian, at RWD Molenbeek in the Belgian Jupiler Pro League.
Tavolieri tweeted: “At first sight improbable, the possibility of a return [to the] Belgian Jupiler League has been considered by Eden Hazard.
“In this context, the ‘financial’ factor would be considered incidental if he decides to continue his career. Playing with his brother Kylian at RWD Molenbeek is part of the thinking.”
Hazard scored just seven goals in 76 appearances for Real Madrid after joining the club in a huge £125million transfer from Chelsea in 2019.
He now has just one other transfer offer on the table – from MLS side Vancouver Whitecaps.
The winger retired from international football in December after Belgium were knocked out of the World Cup at the group stages.
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In an official statement on Instagram, he wrote: “A page turns today… Thank you for your love.
“Thank you for your unparalleled support. Thank you for all this happiness shared since 2008.
“I have decided to put an end to my international career. The succession is ready.
“I will miss you…”
Hazard scored 33 goals in 126 appearances for Belgium during his 14-year international spell.