From Old Brits, the only way I got my system bled after converting to 13mm:
BLEEDING THE NEW BRAKE ASSEMBLY
NOTE: PUMPING� WILL NOT BLEED YOUR NEW BRAKE SYSTEM.
Before attaching the master cylinder to the handlebar, bleed the brake system. Start by draping a few rags across the valley between the handlebars and the headlight. Attach the reservoir cap and gasket to the reservoir. Slip a �� box wrench over the bleed valve of the caliper. Attach the short length of vinyl tube (found inside the syringe housing) to the end of the syringe (provided). Draw fresh brake fluid into the syringe unit the syringe is full. Using the syringe, deposit a little brake fluid at the opening of the bleed valve. Depositing the little brake fluid at the bleed valve opening causes a meniscus to form over the bleed valve opening. This meniscus or bubble of brake fluid displaces any air at the opening of the bleed valve. Displacing air at the opening prevents any air bubbles from being injected when the bleed valve is opened. This is especially important if additional bleeding is required. Force the open end of the vinyl tube over the bleed valve. Make sure there are no air bubbles present at the open end of the vinyl tube. If air bubbles are present, remove the syringe with the vinyl tube attached, squirt a little fluid out of the syringe and then reattach the syringe and tube. Open the bleed valve slightly. While holding the master cylinder vertically in one hand, slowly begin to inject brake fluid into the caliper with the other hand. As you inject the fluid, rotate the upper end of the master cylinder in a circle. Holding the master cylinder vertically and rotating the upper end in a circle which injecting the brake fluid into the caliper insures that all air bubble will be forced out of the line and into the reservoir. Do not fully depress the plunger of the syringe. Stopping the plunger early will prevent injecting the always-present air at the end of the plunger. Leaving a little fluid in the syringe insures against injecting air bubbles into the caliper housing. When almost all the fluid is gone from the syringe, close the bleed valve, set the master cylinder on the rages placed across the handlebars and remove the syringe with the vinyl tube still attached. Reload the syringe and repeat the above operation to insure all bubbles have been displaced. The syringe holds 12 cubic centimeters of fluid. The reservoir will comfortably hold 24 cubic centimeters. If it becomes necessary to bleed beyond two full syringes, some of the fluid may need to be removed from the reservoir.