According to Catalan newspaper Sport, the 47-year-old, who enjoyed a successful seven-year spell at the Camp Nou, has been identified by three of the Premier League's leading clubs as the man to take them to the next level.
Begiristain oversaw a series of massive transfer coups at Barcelona, including deals which brought Samuel Eto'o and Ronaldinho to Spain, and is widely regarded as a major driving force behind the La Liga club's current standing as the greatest team in the world.
Blues owner Roman Abramovich is keen to bring Begiristain to Stamford Bridge in a bid to attract the very best players to west London as Chelsea look to continue the planned overhaul of their ageing squad this summer.
Roberto Di Matteo remains in temporary charge until the end of the season, but the Russian billionaire hopes to have his man in place before the full-time appointment of another manager.
Manchester City have also approached Begiristain about the possibility of joining the Etihad Stadium revolution, and the club's bottomless pockets when it comes to transfer activity is likely to prove an attractive proposition for the Spaniard.
Begiristain enjoyed a distinguished playing career with Barcelona and earned 22 caps for his country before turning his attention to becoming an accomplished boardroom figure.
He was replaced as club president by close friend and ally Joan Laporte in 2010, which has since led to speculation he is poised to move to England.
Tottenham complete the trio of clubs interested in Begiristain, but their offer is depending on the White Hart Lane departure of Harry Redknapp to England, as Spurs put plans in place to address their managerial structure.