However, rain storms in northwestern South Korea kept the field of 72 from completing their rounds Saturday. The leaders will have to play nine holes of the third rounds Sunday before beginning final round play.
Jimenez and Rumford are 10-under par, which is two strokes better than Rhys Davies with another seven players lurking at 7-under.
Jimenez, who started the third round three strokes back of Rumford, was at 3-under after nine holes Saturday. He opened the day with birdies at the first two holes and got to 10-under with a 15-foot birdie putt at No. 8.
Rumford, after six consecutive pars to begin his third round, had a bogey at the par-3, 238-yard seventh hole but moved back into a share of the lead with a birdie at 8.