You can send money from Taiwan to the Philippines through the Allied Bank remittance partner in Taipei:
BANK OF OVERSEAS CHINESE
8 Hsiang Yang Road, 100 Taipei
These global money transfer firms are also remittance partners of Allied Bank:
Moneygram
Uniteller
Instant Cash Worldwide
EZ Remit
AFX Fast Remit
Xpress Money
BDO Remittance Partners in Taiwan for Sending Money to Philippines
Pay SSS, Philhealth and Pag-ibig in Taiwan via IREMIT remittance
Send Money from Taiwan to the Philippines via Metrobank,LBC,RCBC,BPI