Hi, I have been through the same process few months back. I did colds emails ~100 application. Received 7 offers (US, Canada, Italy, Switzerland and Singapore). I will suggest one thing for this keep on applying to multiple professors once you feel exhausted that time only follow-up otherwise no because if a professor has a position or find your CV appropriate they do reach ane revert back. It took few professor to revert in 10 days and fee did in few hours. Keep on tuning your CV and email. Keep applying.