Chelsea confirmed Scolari as their new manager just hours after his Portugal side beat the Czech Republic 3-1 at Euro 2008 last night.
A club spokesman said: "Felipe has great qualities. He is one of the world's top coaches with a record of success at country and club level, he gets the best out of a talented squad of players and his ambitions and expectations match ours. He was the outstanding choice."
Abramovich is understood to have played a major role in Scolari's appointment and met with the former Brazil coach's advisors in Switzerland on Monday.