I have had very little experience with brifters. That said, I had success with a Shimano 600 lever that didn't want to return/downshift. First, I removed the lever from the body. Then I flushed the lever with WD-40 while working over a small plastic tray to collect the extra WD-40. When I had enough run-off WD-40 to submerge the top portion of the lever in the corner of the tray, I left the lever submerged in WD-40 for a few hours, or maybe overnight. Then I let it drip dry, and soaked it in Mobile 1 synthetic oil for a few more hours, dripped dry again and wiped clean, then reassembled.
Here's a nice photo driven how-to (may be slightly different for a Dura-Ace brifter):
http://imgur.com/a/0tPBK
I thought I was going to need to try a full service, but all I needed was to get rid of the old gummed-up grease (soaking in WD-40) and add fresh oil. Worked like a charm.