There's no soul, no abiding or separate self. You are not reborn, per se. The consciousness that gave rise to your life will give rise to new life. When we are told maybe in a future lifetime, this means maybe conditions will be better for awakening for beings in the future.
Rebirth is the re-arising of unwholesome mental states which are based on ignorance. Taken all together, all of our rebirths constitute Samsara (the cycle of rebirths). This is all that we know, unless we understand that conditions in the past are what have led us to now, and now we are able to apply skillful means toward changing conditions so that the future state will be a liberated one; an awakened one. We do this by following the Noble Eightfold Path. Getting caught up in rebirths "beyond this life", or "preceding this life", will not lead to our awakening now. We should wish for the awakening of all sentient beings (now and in the future), but if we want to awaken before we die we must walk the path and strive diligently.