The NRTL mark is purely a US issue, it does not have any legal meaning in Canada.
What you are probably talking about is what is called an SCC mark, since it is administered by the Standards Council of Canada.
Most agencies offer a certification mark which consists of their company logo (e.g. UL, CSA, ETL, TUV etc) but with some small addition to indicate if the certificate is NRTL, SCC or both. Most manufacturers choose both, as it does not cost much more to cover both at the same time. But for Canada, the NRTL side has no meaning, only the SCC part.
In Canada, for the medical device regulations you do not need an SCC mark.
However, state law covering electrical safety can refer to the Canadian Electrical Code (CEC) which in turn requires approvals (via SCC mark), with a list of product standards given in Annex A.
For example in British Columbia, B.C. Reg. 100/2004 "Safety Standards Act ELECTRICAL SAFETY REGULATION", Section 20 says that
The Canadian Electrical Code, Part I, Twenty-first Edition, Safety Standard for Electrical Installations, Canadian Standards Association Standard C22.1-09 is adopted in whole.
I only have the 2007 edition of the CEC which is out of date, but it says:
2-024 Use of approved equipment (see Appendix A)
Electrical equipment used in electrical installations within the jurisdiction of the inspection department shall be approved and shall be of a kind or type and rating approved for the specific purpose for which it is to be employed.
Appendix A then lists CAN/CSA-C22.2 No. 601.1-M90.
I remember reading something that the CEC is being updated to refer to CSA's version of IEC 60601-1:2005 (the 3rd edition), but I need to check on that. If someone has the information on hand, it would be useful to add here.