After major work to the D/M PMIII, bleeding of the system can involve numerous steps, and from the sources seen to provide direction of this, non agree on the steps in the same order so, from numerous brake jobs on D/M PMIII systems in the TGP, these are the steps that have worked best.

Prepare to have about 3 quarts of brake fluid or more (does not hurt to have extra, long as you do not store an opened container).

After the brake unit has been serviced, the entire brake system needs to be bleed in the following procedure:

1) With the brake system fully assembled into engine bay with all electrical and fluid lines reconnected, fill clean brake reservoir of PMIII with new brake fluid into both chambers until full.
2) Utilize a vacuum pump to pull fluid from all bleed ports, note though that the bleed port will pass air into the bleed tube so do not be confused that this is air coming from the brake lines, just make sure to close bleed valve before removing vacuum and vacuum hand pump.
 
 

1. Turn ignition switch to the Off position, then depressurize Powermaster III unit.
2. Clean reservoir and diaphragm assembly, then remove reservoir cover assembly.
3. Fill reservoir to proper level with DOT3 brake fluid then reinstall cover assembly.
4. Raise and support vehicle, then attach a bleeder hose to right front bleeder valve.
5. Open bleeder valve, using vacuum pump to pull fluid. To aid in releasing trapped air, lightly tap on caliper castings with a rubber mallet.
6. Close bleeder valve.
7. Check, then add brake fluid if necessary.
8. Repeat steps 4-7 until pedal feels firm and no air is observed in bleeder hose.
9. Repeat steps 4-8 for left front brake.
10. Turn ignition switch to the On position, allowing pump to run. If pump runs longer than 60 seconds, inspect pump for malfunctions.
11. Attach clear bleeder hose to right rear bleeder valve and repeat steps 5-7 until no air comes from lines.
12. Turn ignition switch to the On position, open bleeder valve, repeat steps 5-7 until no air comes from lines.
13. To aid in freeing entrapped air, tap lightly on caliper casting with a rubber mallet.
14. Turn ignition switch to the Off position, depressurize Powermaster III unit, then check brake fluid. Add fluid as needed.
15. Repeat steps 10-16 for left rear wheel.
16. Repeat steps 10-16 for inboard bleeder valve of Powermaster III unit.
17. Repeat steps 10-16 for outboard bleeder valve of Powermaster III unit.
18. Turn ignition switch to the Off position, then depressurize Powermaster III unit. Check brake fluid level and fill as needed.
19. Apply moderate to heavy force on brake pedal.
20. With pedal applied, turn ignition switch to the On position for 5 seconds, then turn ignition switch to the Off position. Repeat this step 10 times. Do not turn ignition switch to the Start position, or start motor.
21. Depressurize Powermaster III unit, then wait two minutes for air to clear from within reservoir.
22. Attach bleeder hose to bleeder valve on inboard side of Powermaster III unit. Turn ignition switch to the On position.
23. Slowly open bleeder valve, and allow fluid to flow until no air is seen in fluid.
24. Close valve when no air is seen in fluid. Repeat steps 24-27, for outboard bleeder valve.
25. Turn ignition switch to the Off position, then depressurize Powermaster III unit.
26. Remove reservoir cover and diaphragm assembly, check and fill reservoir with DOT 3 brake fluid as needed.
27. Allow bubbles to rise out of fluid before filling and before proceeding.
28. Install reservoir cover, then turn ignition switch to the On position. Allow pump to run. If pump runs for longer than 60 seconds, inspect pump for malfunctions.
29. Apply brake pedal, noting feel and travel.
30.    If pedal feels firm and smooth, without excessive travel, system is properly bled.