Koeman ditched the Netherlands national team for a return to the Nou Camp and was instantly linked with a move for Wijnaldum.
The Dutch midfielder is out of contract at Liverpool next summer and is so far yet to agree a new deal at Anfield.
Koeman has now stated that Wijnaldum was on his radar – and he has been open about his desire to add a second Dutchman to his squad.
With Frenkie de Jong already in the side, Koeman’s statement suggests he could launch a renewed move for Wijnaldum in January.
“We hope to have a second Dutchman in the squad.”
Despite his desire for another Dutchman, Koeman ruled out a squad dominated by his countryman as it once was under Louis van Gaal.
“That was extreme,” he said.
“There were eight or nine then. Now we have De Jong and then Alfred Schreuder on the coaching staff with me.”
Wijnaldum recently downplayed interest from Barcelona but admitted his future was uncertain at Liverpool.
Speaking on international duty, Wijnaldum said: “I don’t think [the Barcelona interest] was that serious, otherwise you would have read a bit more, or more would have happened.
“There was nothing concrete. I didn’t have to think about it.
“I will stay on [with Liverpool] it looks like now. My contract will run for another 10 months.
“It could still change, of course you never know that in football. So we’ll see.”
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