In January, Spurs want to sign AC Milan's Kessie and have held talks with Paris Saint-Germain over Tanguy Ndombele.
Kessie is free to speak to clubs outside Italy when his Milan contract ends on June 30 and Spurs have already held talks with his representatives about a free transfer in the summer.
Kessie scored for the Elephants who knocked Algeria out of the African Cup of Nations on Thursday.
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Adama Traore has 18 months left on his contract and Wolves were unwilling to accept an offer under £20m.
Wolves have been in touch with Spurs about signing Adama Traore.
At the end of the summer transfer window, Spurs were in talks to sign Traore.
It is thought that there is as much as £10m difference between the two clubs valuations of the player and no official bid has yet been submitted by Spurs. Traore has 18 months left on his contract and Wolves want around £25m for him.
Traore scored his first goal since May in Saturday's win over Saints but has come under fire for a lack of end product throughout his career.
Bruno Lage refused to give assurances that he would stay at Wolves, despite the fact that he has scored just 10 goals in 152 appearances.
Lage asked, "What is the most important thing in the world of football?" It needs to be good for the club and good for the player. I'm happy with my forwards. You never know.
Tanguy Ndombele heads off the field.
Talks between Spurs and Paris Saint-Germain over the transfer of Tanguy did not reach an agreement.
There has been a rumour about a move away from Spurs. He was booed by a section of supporters after slowly making his way off the field in the recent FA Cup third-round tie with Morecambe and was reportedly training away from the first team.
Spurs and Paris Saint-Germain have talked about a potential swap deal, but Spurs head coach Antonio Conte is not a fan of the options presented.
Sky Sports News reported last week that Spurs held talks with Spanish and Italian clubs.
Bergwijn will stay.
Steven Bergwijn has been the subject of transfer interest.
Steven Bergwijn's last-minute heroics atLeicester on Wednesday night are likely to keep him at Spurs beyond this transfer window.
After a bid was rejected more than a week ago, it has all gone quiet for the time being.
Bergwijn wants to get into the Netherlands World Cup squad and has never asked Spurs if he could leave this month. The forward has been given strong indications that he wants to stay.
After Bergwijn netted twice deep into injury-time to give Spurs a 3-2 win overLeicester, Conte told reporters that Bergwijn is an " important player with special characteristics".
The latest win from a losing position in the history of the premier league is by Bergwijn, who scored twice in 80 seconds.
AC Milan is interested in Tanganga.
The loan target for AC Milan is Japhet Tanganga.
AC Milan are interested in making a loan move for Tanganga.
It is believed that Tanganga has concerns about his game time once Eric Dier and Christian Romero return from injury.
The Englishman was an unused substitute in the draw at Saints on December 28 and the narrow victory over Hornets on New Year's Day.
He played the full 90 minutes in both legs of Spurs' loss to the Blues, as well as their victory against League One Morecambe in the third round of the FA Cup.
Milan lost at home to Spezia on Monday and are two points behind Inter, who have played a game more.
Sky Sports has a January transfer window.
Who will be moving in January?
The January transfer window closes at 11pm on Monday January 31.
Sky Sports has a dedicated Transfer Centre blog where you can keep up-to-date with all the latest news. Sky Sports News has the ins, outs and analysis.