The emotional disconnect that will develop between you may not be severe, but it will become more noticeable as your relationship continues. Your partner especially will find it difficult to bond with you at a feeling level; intimacy will be a distant goal despite your combined best intentions, because you still haven't solved this issue that has carried over from lifetimes ago. Then, as now, you knocked on the door of their heart, but they steadfastly refused the call -- perhaps due to outside pressures, such as family or religious expectations; or perhaps due to some internal trauma that prevented them from loving freely and fully.
In your present-day relationship, this old chasm between you will manifest as an inability to connect completely. You may feel as if your lover fails to understand who you are at your core, despite all your attempts to reveal and explain yourself to them. This will be frustrating, but it doesn't have to be a deal-breaker for the relationship. If this person ends up meaning a lot to you, the feeling will likely be mutual, which is a good foundation from which to build a more loving, trusting and open bond. Be patient as you strive to understand each other's individuality and emotional needs.