In case of an Emergency you can call one of these numbers for English assistance:

Taipei Foreign Affairs Police Station : (02)2381-7475; 2381-8341; 23817494
Taichung Foreign Affairs Police Station : (04)2222-3725
Kaohsiung Foreign Affairs Police Station : (07)215-4342

There is also a 24 Hrs Toll free Tourist hotline for Chinese,English or Japanese  service:: 0800-011-765

Fire and Ambulance : 119

Police: 110

For Singapore Visitors:

 Consular Assistance for Singaporeans Overseas Service by MFA Missions Overseas : Authentication of Documents , Passport & Citizenship Matters , & Consular Assistance to Cases of Arrest , Repatriation , Accidents / Illnesses , Natural Disasters , etc Taiwan (Taipei) Trade Office 001 (886) (2) 27721940 / 27721941 / 27721942 / 27721925 / 27721927