I'm assuming you mean a pilot received formal counseling perhaps as a result of a pilot deviation?
The only record that is made in to the PTRS (Program Tracking and Reporting Subsystem) which is a database the FAA uses for a multitude of task.
It's given a number, a category number, date, inspector, result (closed) airmen name and certificate number and a brief description of what occurred.
While technically not "on your record" it is retrievable through a search function. If the airmen was involved in another incident the Inspector could do a quick search through SPAS (Safety Performance Analysis System) and the PTRS record would appear.