1. A polite expression used to ask permission or to make a courteous request, expressing that one would appreciate if something were done or allowed
If you don't mind, could you pass me the salt?
Se não lhe importa, pode me passar o sal?
2. Used to preface a statement or question in a respectful manner, seeking agreement or acceptance
If you don't mind, I'd like to add my thoughts to this discussion.
Se não lhe importa, gostaria de adicionar meus pensamentos a esta discussão.