Hearts chief executive Phil Anderton is hoping to hold talks with Sir Bobby Robson over their managerial vacancy.
Anderton met Robson in the summer and is keen for further talks after George Burley parted company with the club.
"We have had some very prestigious names who have been put forward," said Anderton. "One of the names which has come up is Sir Bobby Robson.
"I will certainly be in touch with him - at the minimum to say 'hello' - and we will take it from there."
Robson, 72, was offered the job in the summer as majority shareholder Vladimir Romanov - the club's majority shareholder - looked at candidates before Burley was appointed.
"We were delighted when we had the opportunity to talk at length to Sir Bobby last time around," added Anderton, who is looking for a replacement after Burley's shock departure on Saturday.
"He decided he could not join at that time and we understood that.
"We have kept in touch since then and he is somebody we respect for obvious reasons.
"I would be delighted to have a chat even just to say `hello' because, who knows whether, in reality, this is something he would consider.
"Even if he did want to consider it, there are a lot of questions we will have to go through and, from our side, we would have to ask all the usual questions ourselves.
"So we are not getting carried away about speculation on that one."
Robson will be in Edinburgh this week to attend the funeral of his friend and former Fulham and England team-mate Johnny Haynes.
And the former England boss reiterated his belief over the weekend that the Hearts position is "an attractive job" and that he left Romanov "on good terms" after their previous talks.
But Robson, who has managerial experience at Ipswich, Newcastle, Barcelona and PSV Eindhoven among others, insisted he would not tolerate any interference if offered the Hearts job for a second time.
"I have never stood for any interference from my chairman. At all the clubs I've been at, the selection policy has been down to me," he said.
Meanwhile, former Parma and Borussia Dortmund boss Nevio Scala, who also held talks with Hearts in the summer, says he would be willing to hold further discussions with the club.
Nevio Scala is keen on Hearts
"I will be very glad to talk if Mr Romanov picks up the phone," said the 57-year-old Italian.
The Edinburgh club cited "irreconcilable differences" for the parting of the ways with Burley, who guided the team to the top of the table.
Burley reportedly had an uneasy relationship with Romanov, who launched a complete takeover bid last Friday.
The former Ipswich and Derby boss was only in charge for 113 days.
He had anticipated Saturday's events according to his nephew Craig Burley, the former Scotland and Celtic midfielder.
"George was not happy with the interference as he has always been his own man," he told the Sunday Mail. "I am just astonished by the timing of his departure - it is inexplicable.
"He will not be short of offers. Clubs were queuing up for him when he left Derby and they will be even keener now."
John McGlynn, Hearts' caretaker boss and Burley's former assistant, dismissed suggestions that Romanov had a say in team selection and suggested Robson could be a potential replacement.
"As far as I was concerned, George Burley was bringing the players in - the majority of them anyway," McGlynn told BBC Radio Five Live.
"A lot of the time Mr Romanov is back in Lithuania and comes over to watch games at random. Sometimes he is here and sometimes he is not.
"It would be a good job but whether the job is for me at this time I am not totally sure."
Hearts chairman George Foulkes appeared to fire a parting shot at Burley when he told the Scottish Daily Mail: "There are plenty of managers and coaches who know how to deal with an owner with strong opinions.
"It is the same situation at Chelsea and Rangers. The owners of those clubs also have strong views on the game and it is just a case of knowing how to work with them.
"Diplomatic skills are required to work with an owner like Vladimir, but I think there will be a queue of top-class coaches coming forward now."