Is it possible after one year?

I lived wih my gf for 3yrs and she left me for another guy...She got engaged to him after dating for 4months.For 1 yr we had no contact at all. All of sudden i get this emai from her saying she is sorry and wants to know if i will forgive her and if we can re-introduce ourselfs.She called off the engagement And now she wans to start dating me again And see if we can fall in love again. I have always loved her and think about her EVERYDAY. Can this relationship be salvaged???