I got a question, I hold Italian passport, born in Guatemala and got residence permit of Guatemala.

Do you hold a Guatemala passport too? I mean if you own double nationalities, you are required to present the Guatemala passport when applying in Costa Rica. If you have the passport, you can apply for an F type by providing your passport, application form, recent taken photo, the original and phtocopy of the residence permit of Guatemala, the invitation letter from duly authorized unit, and roundtrip tickets. Anyway, I suggest you to confirm this issue with the embassy in Costa Rica. They have the final right to decide whether to issue one or not.