The TC guidance seems to indicate that Canda issues class ratings for the commercial license.
"Multi-engine Class Rating - Requirements
(a) Skill
An applicant for a multi-engine class rating shall successfully complete a flight test as pilot-in-command of a multi-engine class aeroplane, in accordance with Schedule 7 “Flight Test for the Issuance of a Multi-Engine Class Rating – Aeroplane” of Standard 428 - Conduct of Flight Tests."