I also perform Hatafat Dam Brit, which is the drawing of the blood that is required for the covenant. This ceremony is for those who have been previously circumcised without a religious ceremony and now seek to have this validated as a bris.
This is most commonly performed in those who are in the process of converting to Judaism. It can also be performed for circumcised adopted children being brought into the Jewish faith, or those not born to a Jewish mother and are having a Bar Mitzvah. This usually also requires a visit to a Mikveh which should be discussed with your Rabbi.
Please contact me if you are interested in this part of the conversion to Judaism