Chalali arrived in the Granite City on Monday morning and will train with the club over the coming days.
The 22-year-old currently plays in Greece with Panionios and began his career in France with Le Havre.
Aberdeen have failed to score a single goal in the SPL so far this season and Craig Brown is keen to add to his attacking options.
Dutch striker Maceo Rigters also remains at Pittodrie this week as he too tries to impress the Dons.
He was linked with a move to Celtic in 2007 after starring in Holland's successful European Under-21 Championship campaign, but Blackburn won the race for his signature.
However, Rigters failed to make an impact at Rovers following his move from NAC Breda.
The 27-year-old spent last term on loan at Willem II in his homeland before his Ewood Park deal expired.
Source: Team Talk
Source: Team Talk