Leeds owner Massimo Cellino was reportedly checking out the Belenenses man last month.
The Championship club's owner Massimo Cellino has been in Portugal looking at possible new additions recently, and with Sol Bamba still yet to sign a permanent deal at the club, has identified the Meira as an alternative.
Meira played 27 times for the Primeira Liga side this season, as they secured an impressive sixth place and qualification for the Europa League qualifying round.
It will be the first European football in eight years for Belenenses, but the centre back may not be there to witness it, with his contract set to expire this summer.
Rui Pedro Soares, Belenenses president, is eager to secure Meira to a two-year extension, according to the the report, but the defender has yet to sign up, and Leeds are ready to step in in an attempt to recruit a player of his experience to the cause at Elland Road.
Having come up through the lower divisions in Portugal, Meira signed with Belenenses in 2012, going on to help them back into the top flight in his first season in Lisbon.