You can use something called the “Intra-Company Transfer prog” to come work for the Canadian office of your company. The work permit you get under this prog does not require an LMIA. To use this you have to have worked for the company outside Canada for a minimum of 1 year. The three categories that qualify for this visa are Executive, Senior Managerial; and Specialized Knowledge.
The BC PNP processes are called “BC PNP SKILLS IMMIGRATION AND EXPRESS ENTRY BC PROGRAM” you will be going for “EEBC — SKILLED WORKER” as it’s faster. To qualify here are a few that I things you will need (I have dropped some that are very obvious)
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Have received an Express Entry Profile Number and a Job Seeker Validation Code from the IRCC Express Entry system. This shows you meet the minimum criteria for one of IRCC’s Express Entry progs: (FSW in your case)
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Have accepted a full-time, indeterminate job offer (a permanent job, or one with no set end date) from a B.C. employer. The job must be in a National Occupational Classification skilled occupation (Skill Type 0 or Skill Level A or B).
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Have at least two (2) years of directly related work experience
To start the process, create a profile with BCPNP Online. After submitting your registration, you will receive a score based on your skills and job. They invite people with the highest scores to apply through BCPNP Online.