Celtic are reportedly preparing to return with an improved offer for Serie A midfielder Gineitis, as Brendan Rodgers looks to strengthen his engine room before the transfer window closes, according to the BBC's daily gossip column.
The Parkhead club had an earlier approach knocked back, but are said to be readying a revised bid in hopes of getting a deal over the line this summer.
Meanwhile, across the city, Rangers are understood to have opened talks over a winger playing for one of this season's newly-promoted Premier League sides, as Ibrox chiefs continue to explore options to bolster their attacking options.
As always with speculation of this kind, neither move is confirmed, and further reports are expected to follow as both Glasgow giants push to finalise their squads before deadline day arrives. Celtic's chase of Gineitis, in particular, looks set to be one of the more interesting sagas to track in the coming days, per the BBC.