Andre Villas-Boas is looking for a club with a "strong technical plan" which has longevity, according to his agent.
The Portuguese man is the front- runner to replace Kenny Dalglish as Liverpool manager but has also been linked with Roma, who parted company with Luis Enrique a week ago after a disappointing eighth-placed finish in Serie A.
Villas-Boas himself was dismissed at Chelsea just eight months after signing a three-year contract as Europe's hottest managerial property.
The 34-year-old thought the move to Stamford Bridge would be the start of a long-term project and, after being unceremoniously dumped by Roman Abramovich, he is looking for the right opportunity to re-establish his credentials.
"What we are looking for is a strong technical plan, that is solid and durable," said his agent Carlos Goncalves. "Liverpool? Again, we look for a club which is very strong and competitive. We will see if there are conditions that will attract us with any club."
Wigan manager Roberto Martinez was one of the first contenders to be revealed for the Anfield hot seat and, although the Spaniard has now gone on a Caribbean holiday, it is thought he is preparing for a meeting with Liverpool's principal owner John Henry and chairman Tom Werner in the coming days.
Reports have linked Louis van Gaal with the sporting director's role at Liverpool after an internal restructuring at the club by Fenway Sports Group divided up the responsibilities previously held by director of football Damien Comolli.
However, suggestions in Holland are that the 60-year-old former Ajax and Holland coach, who has been out of work since he was sacked by Bayern Munich 13 months ago, would prefer the manager's job.
Meanwhile, fans supporting the claims of former manager Rafael Benitez have set up a website in an attempt to persuade FSG to speak to the Champions League-winning Spaniard.
So far there has been no contact with Benitez, who is out of work and living in the Merseyside area, and the suggestion has been that he would not be considered, but a campaign has begun to ask FSG to reconsider.