A tray (100) for accommodating a coiled medical device, such as a catheter assembly (700), includes a first compartment (101), a second compartment (102), and a third compartment (103). The catheter assembly (700) and devices associated with a catheterization procedure, such as syringes (701,702) containing sterile water and lubricating jelly and a specimen container (703) can be disposed within the tray. A first barrier (105) and second barrier (106) separate the compartments. The barriers can have openings (121,122) therein to accommodate large syringes or to enable the first compartment (101) to be used as a lubricant applicator for the catheter. The first compartment (101) can include a stair-stepped contour (115) such that the syringes are held at different depths to facilitate ease of use. The various devices can be disposed within the tray (100) in accordance with their order of use in the catheterization procedure.