Sadiq will put pen-to-paper on a season-long loan deal and Coulibaly will follow his lead in signing on the dotted line after agreeing terms with Gerrard's side on the eve of the Liverpool legend's first competitive match in charge.
Cooper signed for the Lions permanently last summer after a successful loan spell at the club during their promotion-winning 2016/17 season, but cost the club under £1 million after then-Reading manager Jaap Stam deemed Cooper surplus to requirements.
He has scored twice in six appearances for the Giallorossi since the move.
Sadiq, 21, has struggled to pin down a regular shirt since linking up with AS Roma from Serie B side Spezia in 2015. He's also spent time with Bologna and Torino as he increased his experience, and he has represented Nigeria - scoring four goals for them at the Olympics in Rio in 2016 where they won bronze.
Coulibaly is excited to play under Gerrard but admitted he was not sure if it was a joke or not.
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"I found out Rangers were interested in me about a month ago when I was on holiday in Nigeria".
"He called me about two weeks ago and from there I started changing my mind".
The fans already seem to have given him an interesting nickname but I'll let you discover that for yourselves, I couldn't possible repeat the intimation here!
"Rangers is a good team, I'd heard the name before Gerrard came in here".
"I play midfield, I'm strong and physical and I can get the ball from the opponent for my team".
He smiled: "I don't like to say anything about myself but I am a hardworking player who always wants to help the team". I don't watch the league, but I know about Celtic and Rangers in Scotland.