Honda is a free agent after finishing up his one season in the A-League as a marquee at Melbourne Victory.
Despite being hampered by a hamstring injury in the middle of the campaign, the 32-year-old was clearly one of the league's best players with seven goals and seven assists in 20 matches.
Brescia Oggi report that Serie A side Brescia, winners of the 2018-19 Serie B, are interested in signing the attacking midfielder for their return to Italy's top flight.
Honda spent three and a half seasons at Italian giants AC Milan between 2014 and 2017, though it was not a fruitful spell for either the club or the player.
He is one of the brightest stars in Japan's history, playing at and scoring in three FIFA World Cups (2010, 2014, 2018), winning the 2011 AFC Asian cup, and bagging 37 goals in 98 caps.
Honda is currently also the manager of the Cambodian national team.