Think back on the true friends you have. How many of them "offered" friendship and how many just evolved into it? I find that people generally do not expect their own future. By this I mean that those who offer friendship are usually seeking something else while the people who simply evolve into your friend did not see it coming.
I am very mindful when I meet a new person but even I do not often expect the buds that will one day become a great friendship. Some of the best friends I have began in an unlikely place. These friendships usually began with people who cared as little about making a new friend as I did. When I look back on the birth with a now old friend, we often remark on how random our friendship is...or the odd circumstances that initiated it.
The dirty dirty...
I believe that relationships are reactive...COMPLETELY REACTIVE.
-This means that a relationship whether friendship or otherwise is not something that can elude you. People are in no short supply...and being that we live in a world of general free will (when it comes to relationships) if you find it hard to make friends or find it hard to meet a good man/woman, that is mostly your own fault. People are as varied as the stars in the sky and just as similar. They are there and, like everything in the universe, they are attracted to what compels them. "Water seeks it's own level"
-don't trust people who try to sell you friendship.
-your friends are and will remain a reflection of you.