I'm falling for my ex-girlfriend again

We broke up a month ago, more or less, because we didn't love eachother anymore and we agreed that we wanted different thing from a relationship (i want to spend time with her, cuddle etc while she is a little bit colder then me).
We remained friends, because there were no hard fealings and so we stayed in touch and i realized i'm falling for her again.
Rationally, i know we want things that are too different and i don't want to start a relationship with her but i can't help to think about it.
She is a precious friend and i don't want to cut her away from my life, but talking to her hurt me so much...
I really don't know what to do... do you have any suggestion?