The 6.7-magnitude earthquake, which struck southern Taiwan early Saturday, has killed at least 40 people.
A 28-year-old Vietnamese woman was pulled from the debris on Monday in Tainan, after three others were rescued.
Earlier in the day, a man was pulled out alive after being trapped for some 56 hours. He was sent to hospital for treatment but may have to undergo amputation for injuries on the left leg.
Before that, rescuers saved a woman who was partly shielded by her dead husband, on the seventh floor of the collapsed Wei Guan building.
So far, rescuers are still scouring the wreckage to search for survivors.
They have been able to confirm signs of life on the top floor of the building.
More than 100 people are believed to be under the debris, and many are trapped at the bottom of the building.
Sine Monday evening, heavy machines have been used at the site.
Taiwan is frequently rattled by earthquakes. Most cause little or no damage. But a 7.3-magnitude quake in 1999, the strongest to hit Taiwan for about 100 years, left more than 2,000 people dead.