A draping system for use in medical procedures includes a drape portion adapted to cover a surface, such as medical equipment or a patient, and serves as a barrier to fluid and debris during medical procedures. The draping system may have a fastening portion affixed to the drape portion and adapted to secure the drape portion to medical equipment. The drape portion may form a pocket for collecting debris resulting from a medical procedure. The drape portion may have an opening therein spanned by a non-porous, elastic membrane.