The regulations under VEVRAA and Section 503 of the Rehabilitation Act do not state anything specific regarding where to house self-identification forms. However, any forms that would contain medical information typically is stored in file cabinet under lock and key. Both of these forms can be stored together but should be kept apart from the regular employee file and in a place that is secure and only accessible to persons needing this information for the preparation of required reporting (e.g. Affirmative Action Officer).
You can use this OFCCP audit checklist to ensure you're doing what is required to maintain OFCCP's regulations including VEVRAA, Section 503, and EO 11246. Or request a demo to streamline your compliance and recruiting efforts.