That sent Li on to the quarters to face Russian Elena Vesnina, who ousted Briton Heather Watson 6-1, 3-6, 6-1 on Day 3 of the grass-court Wimbledon tune-up.
Denmark's Wozniacki, meanwhile, cruised past British crowd favorite Laura Robson 6-4, 6-4. Her next foe will be Russian Ekaterina Makarova, who pulled off a 6-3, 6-4 upset of third-seeded German Angelique Kerber.
No. 6 Maria Kirilenko of Russia got past British wild card Elena Baltacha 4-6, 6-4, 6-3, while American qualifier Jamie Hampton and Czech Lucie Safarova also moved on with second-round wins.