Arsenal are leading the race to sign the Belgium international, who is one of Europe's hottest properties, but face stiff competition from many of the continent's top clubs, including the likes of Manchester United, Real Madrid, Inter Milan and Liverpool, against whom Hazard scored in their Europa League tie earlier this month.
Wenger will fancy his chances of landing the 19-year-old playmaker though, as he has admitted in the past that he would favour a move to North London. 'Real Madrid and Arsenal are the clubs I dreamed of joining as a child,' he said late last year.
Impressive: Hazard breaks clear of Liverpool's Agger and Johnson as the midfielder ran the Reds ragged in their recent Europa League clash
Hazard recently signed a new deal to stay at Lille until 2014 but it remains to be seen whether the French club can hold off so many of Europe's big guns.
And Wenger's personal call is reminiscent of a similar conversation he had with Thomas Vermaelen, Hazard's international team-mate, just weeks before the defender signed for the Gunners from Ajax last summer.
Hazard has scored nine goals and provided four assists so far this season.
Lille ace Hazard admits he's flattered by Arsenal and Liverpool interestVermaelen urges Arsenal youngsters to be more like veteran CampbellTHE LIST: The best players in European football - Nos 20-11ARSENAL FC