Chad Johnson -- College Domestic Battery Victim Wants Sitdown with Evelyn Lozada

Chad Johnson's college girlfriend -- whom the ex-NFL player was convicted of slapping in 2000 -- wants a pow wow with Chad's latest alleged battery victim ... his wife ... and TMZ has learned, it's all in an effort to find closure.

Sources close to the former girlfriend tell TMZ, the woman has been attempting to reach out to Chad's wife Evelyn Lozada on Twitter and Facebook -- ever since news broke last weekend that Chad had allegedly attacked her.

We're told the ex-GF believes she and Evelyn have a lot to talk about and can help each other heal in the process.

According to our sources, the GF has had no luck in reaching Evelyn thus far..

And how's this for irony ... TMZ has obtained Chad Johnson's certificate of completion from a domestic violence batterers' treatment program back in 2002, following his domestic battery conviction.

According to a status report from the program, Chad was cooperative and appeared to make good progress -- but "struggled initially with accepting the need to make lifestyle changes as well as minimizing his past behavior."

The report says Chad eventually came to terms with his problems -- and his "risk to re-offend appears low."