At least one person drowned in the province of Rizal in the wake of the typhoon, the national disaster agency said.
But authorities issued land warnings for several counties and cities in southern Taiwan including the major port city of Kaohsiung.
Railway services between eastern and southern Taiwan will be suspended from Wednesday evening.
More than 300 people have been evacuated in southern and eastern Taiwan as a precaution as Doksuri was expected to bring up to 1 metre (3.3 feet) of rainfall there.
A Level II emergency response implies an oncoming typhoon could severely affect the country, according to the state council's national emergency plan for flood control and drought relief.
Persons:
Doksuri, Talim, Karen Lema, Bernard Orr, Yimou Lee, Raju Gopalakrishnan
Organizations:
Reuters, Weather Bureau, Railway, Meteorological Centre, South China Sea, Meteorological Administration, Guangzhou Daily, Central Meteorological Administration, Thomson
Locations:
MANILA, BEIJING, TAIPEI, Philippines, Taiwan, China, Cagayan province, Rizal, Philippine, Kaohsiung, South, Fujian, Guangdong, Manila, Beijing, Tapei, Shanghai