Removing huge amounts of air from brake lines. '99 Kia.

joosts

After seeing ten mechanics on the road, I tried the most reputable mechanic in Cuzco to finally fix my blocking up brakes problem. First thing they did was suggest I go back to the recommended dot 3 breaking fluid. While I was out buying the stuff, the bled out all the old fluid. Then they spent about four hours trying to get the new fluid into the lines. Which, as they were filled completely with air. Any tips on how I can go correct this error? I was thinking gravity bleeding is probably the only way...