Roberto de Zerbi, who is available following his exit from Marseille earlier this season, is a primary target and Tottenham, prior to Sunday's official announcement of Igor Tudor's departure, tried to ascertain whether the Italian is open to the job.
Elsewhere, there is believed to be an interest in appointing Sean Dyche on a short-term basis.
Dyche, who is available after his sacking by Nottingham Forest in February, has a record of keeping clubs in the Premier League - a relevant trait given Spurs' relegation fears.
However, it is understood Dyche would seek a minimum 18-month contract, which could prove a stumbling block towards any agreement.
Mauricio Pochettino would be the choice of many supporters given his relatively successful previous reign at the club, but his commitments to the USA national team before this summer's World Cup would make an immediate move extremely difficult.
Candidates with Tottenham connections such as Ryan Mason, Harry Redknapp and Tim Sherwood would be open to taking the job on an interim basis until the end of the season, while current player Ben Davies has also been considered as a possible short-term fix.
Former Monaco head coach Adi Hutter is another potential candidate, while former players Glenn Hoddle and Chris Hughton have also been touted as interim appointments.