Hleb's form this term has been excellent - he was outstanding as Arsenal became the first English team to beat European champions AC Milan at the San Siro - but it is not the first time that he has been involved in controversy regarding his position at Arsenal.
In February 2006 - just seven months after he had moved to the Premier League - Hleb was seen at a London restaurant with Michael Schroeder, the chief scout of Hamburg.
Wenger was prepared to let that matter pass as Hleb and Schroeder knew one another through Hleb's younger brother Vyacheslav, who used to play for Hamburg, but it is unlikely that the Frenchman will adopt such a lenient attitude towards Inter's alleged approach.
Arsenal have a reputation for giving short shrift to clubs who try to unsettle their players.
In 2005, the club complained to the Premier League about their bitter rivals Chelsea's "tapping-up" of England defender Ashley Cole, while Wenger has frequently had to fend off interest from Barcelona and Real Madrid for his star midfielder Cesc Fabregas.
In the past, former captains Vieira and Thierry Henry were also the frequent targets of approaches from some of the continent's biggest sides.
Meanwhile, Hleb's team-mate Tomas Rosicky is no closer to a return to action as he continues to struggle with a worrying hamstring problem.
The Czech Republic international has not played since the FA Cup victory over Newcastle on 26 January.