Celtic have tabled a new improved £4million bid for Sebastian Tounekti
The Scottish champions have gone back in after having an offer of around £3m turned down by Hammarby earlier this week.
The Hoops are keen to land the talented Tunisian winger. The Swedish side, however, are reluctant to sell their prize asset.
They only purchased him the 23-year-old from Haugesund earlier this year.
Celtic face a fight to persuade Hammarby to sell.
Touekti has perviously been at Tromsdalen and Bodo Glimt, while he has also had a loan at Dutch side Groningen.
Brendan Rodgers is looking to ramp up his summer recruitment after they crashed out of the Champions League.
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