Ramires, who won 51 caps for Brazil, is currently a free agent after last playing for Palmeiras until the end of last year.
KickOff.com has gathered that his Portuguese agent Simon Mimbire is working in liaison with retired Mozambican defender Helder 'Mano-Mano' Muianga on the possibility of a move to the PSL.
Although there is interest from Qatar and Turkey, the PSL remains an option that is being pursued with interest as his package will be within reach for the top-paying clubs on the domestic scene.
The 33-year-old spent five-and-a-half years at Stamford Bridge and won the UEFA Champions League, Europa League, English Premier League, FA Cup and League Cup.
He won the 2009 FIFA Confederations in South Africa, playing in all five matches for Selecao, and returned the following year for the World Cup.
Ramires also played in Brazil's 5-0 friendly win over Bafana Bafana at FNB Stadium in 2012.