I'm in the final hiring process of a company based in UK, and today a company from my country contacted me showing interest on my profile for new open vacancies they have here.
I would prefer to work at this company, first because it's at home and second because it's more related with my professional career. The director of the company told me that send my CV if I am interested, indeed I am. So I am in the process of creating my cover letter to send to them.
Am I likely to see an advantage or disadvantage if I mention the offer from the first company? Is it more likely to persuade them to make an offer, or to increase the pace at which they pursue making an offer?