Eleni, congratulations on your 10 days of sobriety. That is a marvelous accomplishment. Abstaining last night, when you were sad about your boyfriend, is even more marvelous. Good for you!
Unfortunately, your boyfriend is going to have to come to his own conclusion that his drinking is a problem. The best thing you can do right now for both of you is to continue to focus solely on your own recovery. Whenever people change, it can be a challenge to those around them who maybe don't want things to change. It may be very frightening for your boyfriend to see you change, and he may not perceive it as the best thing for either of you. It's up to YOU to focus on your best interests, no matter what is going on!
Sending you strength!