The Football Association have a three-man short-list for the England manager's role.
Tuesday's forced resignation of Sam Allardyce has the FA on the hunt for a successor just over two months after appointing the 61-year-old.
Gareth Southgate, who has taken over on an interim basis, is one of the three names on the list according to the Daily Mirror.
Both Wenger and Howe were linked with the job in the summer after Roy Hodgson stepped down following Euro2016 and subsequent of Allardyce's exit, are reportedly back on the radar.
The report indicates that FA technical director Dan Ashworth is very keen on giving 38-year-old Howe the opportunity at international level while Wenger is an option for the coming summer when his contract at Arsenal expires.