Civil Annulment?

I would like you to enlighten me on this matter. I am a Catholic and a Filipino and my previous marriage has already been annuled by the Catholic Church, but has yet to be annuled by the civil courts. My ex-wife is now living in the States and has remarried already. We were granted a decree of divorce which is not recognised here in the Philippines. I am asking if can I already get married in the Catholic Church even if I have yet to wait for my civil annulment? I will be waiting for your reply.