The Nerazzurri are expected to strengthen their squad significantly in the January transfer window and next summer after the Suning Holdings Group purchased a majority stake in the club in June.
The Italian giants have been credited with an ambitious move for Costa, with speculation suggesting they will test Chelsea’s resolve with a bid in the region of £50million for the striker.
However, sporting director Piero Ausilio has moved to reject the rumours and says Inter are happy with their present options in attack.
When asked about Costa, he told Premium Sport: “To talk about this is absurd, we already have a very strong centre-forward [Mauro Icardi].
“We will try to evaluate the positions we feel need strengthening.”
With seven points between themselves and the drop Brighton are still in need of points as they prepare to host Tottenham on Tuesday.
Lazio could face a huge battle to keep hold of midfielder Luis Alberto this summer as Barcelona have been credited with an interest.
Brighton's Shane Duffy says his side are relishing the tricky final run of fixtures which will decide their Premier League future.
Watford goalkeeper Costel Pantilimon, currently on loan at Nottingham Forest, is keen to extend his stay at the City Ground.
Valencia have been linked with a move for Manchester United defender Matteo Darmian but face competition from clubs in Serie A.
Everton and West Ham United are reportedly showing a keen interest in Ajax midfielder Hakim Ziyech.
Huddersfield are reportedly looking to tie manager David Wagner down to a longer deal amid interest from another Premier League club.
Bayern Munich forward James Rodriguez says revenge isn't on his mind ahead of his side's Champions League clash with Real Madrid.
Silvano Martina, the agent of Juventus goalkeeper Gianluigi Buffon, says reports of a summer move to Boca are incorrect.
Paris Saint-Germain boss Unai Emery says he would love to manage Real Sociedad at some stage in his career.
