The hearing relates to his failure to arrive in time to take his first two rides at Chester on 5 May.
The panel will consider whether or not Fallon breached any of the rules of racing after failing to take the rides on Fred Willetts and Forte Dei Marmi.
The hearing will be extended to Tuesday if required.
The panel will ask why Fallon failed to give the clerk of the course his reasons for missing the races.
It will also ask whether he provided inaccurate information, omitted anything relevant, or whether he misled an employee of the BHA.
It is the latest twist in the 46-year-old's successful but controversial career.
In June, Fallon was prevented from racing in the Derby after the owners of Native Khan obtained an injunction against him, claiming the Irish jockey had reneged on a deal to ride for them.