Real Madrid reportedly approached several top managers before appointing Julen Lopetegui in the summer, with the likes of Mauricio Pochettino, Jurgen Klopp and Antonio Conte all turning down Los Blancos.
It's said Pochettino was the club's first choice, but he signed a contract extension with Spurs in May and was never likely to join. Allegri has already said he turned down Los Blancos, and Klopp never even considered the offer, as he's fully invested in the Liverpool project.
Nagelsmann has a deal in place to join RB Leipzig next season and is just 31 years old, so he would have been an unlikely candidate.
The out-of-work Conte has been strongly linked with the club for some time now, however, and is among the favourites to replace Lopetegui just months after the former national team boss joined:
Real have suffered a nightmare start to the 2018-19 campaign and only just ended their winless streak on Tuesday, beating lowly Plzen 2-1 in the UEFA Champions League. They had lost four of their last five previous matches and hadn't beaten anyone since September.
Lopetegui appears on the verge of being sacked and could be out of a job by the end of the weekend, with Los Blancos set to face rivals Barcelona in the first Clasico of the season on Sunday.
As shared by sportswriter Richard Martin, club director Emilio Butragueno didn't give any assurances he'll be around after the Clasico:
Lopetegui took the job knowing he had massive shoes to fill, as former Real boss ZinedineZidane guided the club to three straight UEFA Champions League titles. No club had ever repeated as European champions since the tournament took on its current form.
He was sacked from the job as Spain's national team boss after Real announced he would be the club's next manager just days before La Roja's first match at the 2018 FIFA World Cup.