Rangers are believed to have rejected a £13.5m bid for Alfredo Morelos.
Lille have been targeting the Colombian striker this summer, and it's reported that Rangers have knocked back their most recent bid.
Morelos was back among the goals on Sunday, scoring twice in the second half at Ibrox as Rangers beat St Mirren 3-0.
According to French website La Voix Des Sports, Morelos remains a target for the Ligue 1 side, but Rangers are holding firm after rejecting the £13.5m bid.
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Speaking on Rangers TV, manager Steven Gerrard praised Morelos for his improved performance after a disappointing showing in the Europa League against Bayer Leverkusen on Thursday.
Gerrard said: "I wanted a bit more from him in midweek. We spoke about that. But he's certainly responded today.
"I think his two performances domestically have been fine. I thought he was decent at Aberdeen – could have been better in taking his chances and getting his shots off.
"Today I thought his all-round performance was good. More often than not, if you've got his talent, and you play well the numbers will come. They came today and I'm pleased with his all-round contribution."
