The 36-year-old former Barcelona forward, who last turned out for Fuminense in 2015, is reportedly keen on continuing his career when the Australian A-League kicks off in October.
Though the semi-professional club cannot afford to sign Ronaldinho on a permanent basis, the club director confirms an invite has been sent for him to play in their FFA Cup clash against Sydney FC on August 10, which would provide a platform to impress potential suitors in the professional league.
"We can confirm we have put in an offer [for Ronaldinho]," Merola told Outside90.
"We know he is interested in coming to the A-League as a marquee player, and we are willing to put him on a platform to show his wares.
"Deadline for a response is tomorrow [Friday]. Fingers crossed, it would be a big coup for Wollongong!"
A former World Cup and Copa America winner with the Selecao, Ronaldinho also featured in the inaugural Indian Premier Futsal League last month.