The Indonesian club are looking to sign the Englishman to play for the team this season and are also looking at former Japan international Naohiro Takahara as an alternative
According to Persija boss Ferry Paulus, Ellington is currently undergoing a trial and selection with the Indonesian side, with a chance to play for the team this season.
"We still have to look at his form in training and a friendly match against local club," he said.
In addition to playing for Wigan, the 32-year-old Englishman has also had playing stints in the Premier League with West Bromwich Albion and was a then-club record signing for Watford in 2007.
Ferry added that the team would make a decision on whether they would be recruiting Ellington before February 28, the date when player registration for the Indonesia Super League closes.
Should their efforts to sign Ellington fail, Ferry mentioned that Persija would be looking to sign former Japan NT striker Naohiro Takahara as an alternative.
"We are still discussing with Takahara’s agent about this possibility and we will also talk about it with coach Benny Dolo," Ferry added.
Ellington has been with Persija since February 19 for the trial and selection.