AN A319 DSNDING THROUGH FL350 FOLLOWING A B767 BY 20 MILES ENCOUNTERED WAKE VORTEX AND ROLLED ABOUT 25 DEGS.

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WE HAD BEEN CLEARED DIRECT ABC AND MAINTAIN 260 KIAS. LATER WE WERE CLEARED TO DSND. WE STARTED OUR DSCNT OUT OF FL360. AT ABOUT FL350; WE HAD A WAKE ENCOUNTER OF ABOUT 25 DEGS RIGHT WITH THE AUTOPLT ON. CAPT CALLED 'ATTITUDE.' I DISCONNECTED THE AUTOPLT AND CHANGED THE DSCNT RATE. I HAD TO USE ABOUT FULL LEFT SIDESTICK TO STOP THE ROLL. ONCE THE ACFT RESPONDED TO MY INPUTS; I RETURNED THE ACFT TO WINGS LEVEL FLT. WE RPTED THE ENCOUNTER TO ATC AND ASKED FOR AN OFFSET; INITIALLY RIGHT; BUT I POINTED OUT THAT THE WIND WAS FROM THE LEFT AND THEN WE RECEIVED A CLEARANCE TO OFFSET 1 MILE LEFT (UPWIND) UNTIL WE WERE CLEARED DIRECT TO ANOTHER FIX. WE ALSO ASKED WHAT WE WERE FOLLOWING (A COMPANY B767) WHO WAS ABOUT 20 AHEAD ON THE TCAS AND; AT THAT TIME; 2600 FT BELOW US. I BELIEVE THAT THE ACFT WOULD HAVE ROLLED EVEN FURTHER HAD WE NOT DISCONNECTED THE AUTOFLT SYSTEM AND PITCHED UP OUT OF THE WAKE. THE AIR WAS VERY SMOOTH; SO THE WAKE DID NOT DECAY TO A SAFE STRENGTH OVER THE 2.5 TO 3 MINUTES TIME FOR US ENCOUNTER IT. WE MUST HAVE BEEN BELOW THE DSCNT PATH OF THE B767 AND DOWNWIND OF WHERE HE WAS. THE DIRECT TO ABC HAD TAKEN US SLIGHTLY OFF THE STAR (PROBABLY CAUSED THE DOWNWIND). WINDS WERE 207/31 ON THE ND. WE DID ASK THE FLT ATTENDANTS IF THEY; OR ANYONE; WAS HURT. NO ONE WAS. I THINK THEY MAY HAVE BEEN SHOOK UP; BUT THE WHOLE EVENT WAS FAIRLY SMOOTH; BUT OBVIOUSLY NOT CTLED FOR A SHORT PERIOD OF TIME. (SCARY IN THE BACK; I AM SURE.) LATER; WE WENT AROUND AT ZZZ BECAUSE WE WOULD NOT CALL THE VISUAL ON THE SAME TFC; (THOUGH WE WERE VISUAL ON AN ACFT SLIGHTLY AHEAD OF US FOR THE PARALLEL RWY).