Manchester City suffered a second Premier League defeat of the season on Sunday as they went down 3-1 at home to league leaders Chelsea.

A Gary Cahill own goal had given Pep Guardiola’s side a deserved lead at half-time, but when Kevin De Bruyne missed a sitter and Sergio Aguero’s effort was well-saved by Thibaut Courtois, you sensed that it could galvanise Chelsea.

And it did just that, as goals from Diego Costa, Willian, and Eden Hazard secured the three points for Antonio Conte’s side, who now have a four-point lead over City at the top of the division.

City slipped to fourth as a result of Arsenal winning 5-1 at West Ham in the late kick-off, and Guardiola will be frustrated that his men didn’t kill Chelsea off when the chances came.

Nonetheless, City are still fourth in the table having won nine of their opening 14 games, and are also into the last 16 of the Champions League after a solid campaign thus far in Europe.

They take on Celtic on Tuesday night trying to pick up a third win in Group C but, regardless of the result, they will finish second and could face the likes of Atletico Madrid and Borussia Dortmund in the first knockout round.

And, with January fast approaching, speculation is increasing about who Guardiola may try and sign to bolster his squad, and also who he may let go to make room for more additions.

They have been linked with several players, and some players have been linked with moves away, and here are TWO rumours that are very unlikely to happen…

Yaya Toure to Man United

Yaya Toure did not appear in the Premier League this season prior to City’s 2-1 win over Crystal Palace on November 26, and was also left out of Guardiola’s Champions League squad.

Consequently, the Ivorian was being linked with a January move to several clubs, and perhaps the most surprising of them all was to Jose Mourinho’s Manchester United.

The Mirror reported in October that the United boss could look at a short-term deal for the midfielder, yet they themselves admit that a move across the city would be ‘extremely unlikely’.

Arguably, it is even more unlikely now that Toure has played in their last three league games, although he didn’t start the defeat against Chelsea on Saturday.

City are probably not going to want the 33-year-old to move to a title or top four rival, let alone their Manchester rivals.

Cesc Fabregas

Cesc Fabregas had been out of favour at Chelsea until he started their 3-1 win over City on Saturday, as he replaced the injured Nemanja Matic in the midfield.

The Spaniard had up to then played just 55 minutes of Premier League football this season, and was attracting interest from a host of European clubs.

One of these, reportedly, were City themselves.

The Sun on Sunday suggested that Guardiola was looking to bring the 29-year-old to the Etihad in January, but you sense that the final scenes in Saturday’s encounter is hardly going to endear Fabregas to the City players, or indeed the manager.

Guardiola looked to have rejected Fabregas’ offer of a handshake at the final whistle, and recent reports suggest that it wasn’t just because of the Chelsea man’s part in the Fernandinho dismissal, but also the previous the two have had at Barcelona.

If this is the case, then it’s highly unlikely that Guardiola would want to sign Fabregas, even before Saturday’s unsavoury scenes at the Etihad.