A DSNDING ACR MD80S FLC; CORRECTING FROM A GPWS ESCAPE PROC; OVERSHOT ASSIGNED ALT WHILE ON VECTOR TO ARPT. AFTER LNDG; PIC CALLS ATC AND SUPVR ADVISES NO PROB WITH ALT EXCURSION.

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GOING TO PSP HDG 260 DEGS AT 7000 FT APPROX 25 MI OUT WE GOT A GPWS TERRAIN WARNING. WE PERFORMED THE ESCAPE PROC AND SHORTLY THEREAFTER BROKE OUT OF THE CLOUDS. WE COULD SEE THE TERRAIN AHEAD OF US SO WE INFORMED APCH CTL OF WHAT WE HAD DONE AND WERE DSNDING BACK DOWN TO 7000 FT. APCH CTL THEN TOLD US HE DID NOT UNDERSTAND WHY WE HAD GOTTEN THE WARNING AS HE SHOWED US ON HIS RADAR AS BEING ABOUT 1000 FT ABOVE HIS MVA. AS WE WERE DSNDING AND TALKING TO APCH CTL AND TRYING TO FIGURE THE PROB; WE INADVERTENTLY AND MOMENTARILY DSNDED BELOW OUR 7000 FT ASSIGNED ALT. BY THE TIME WE STOPPED THE DSCNT AND STARTED THE CLB WE WERE ABOUT 400 FT LOW. WE THEN CONTINUED AND LANDED. I CALLED APCH CTL AFTER LNDG AND THEY SAID THEY HAD NO PROBS WITH THE ALT EXCURSION; AS IT HAD CAUSED NO PROBS. THEY APPRECIATED THE CALL AND SAID THAT THEY HAD OTHER ACFT RPTS OF GPWS WARNINGS IN THAT AREA. THEY THOUGHT WE COMMUNICATED WELL WITH THEM DURING THE EVENT. IT IS THE AGE OLD PROB OF TRYING TO DO TOO MANY THINGS WHILE FLYING THE ACFT. LESSON LEARNED.