A safer peritoneal catheter with improved non-plugging characteristics is disclosed. The catheter has very fine sidewall openings which generally have projections associated therewith which tend to prevent the openings from becoming clogged with tissue. The catheter and side holes are sized to facilitate removal of blood and liquids from the peritoneal cavity. The very fine sidewall openings enhance the reliability of the catheter while permitting it to have excellent strength and resistance to breakage.