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The Catholic Directory of the Philippines for 2008-2009 is on my lap right now and I can assure you that it makes no references to ANY Eastern Catholic communities in the Philippines. However, I have a friend (now based in Bataan province) who was born Greek Orthodox and who became Catholicism in his early teens. By necessity he attends the local Roman Catholic parishes but he tries to observe all the fasts of the Orthodox Church.
Considering the fact that the population of Metro Manila alone is 11.5 million and that the Philippines is the world's 12th most populous country, I think it is safe to say that there must be more than one or two Eastern Catholics there. So if there are no Eastern Catholic communities at all in the Philippines, it means there are probably at least some Eastern Catholics who are not being served.
And my spiritual director is a French Jesuit who worked with the Greek Catholics in Romania in the 1990's, and who still has Byzantine faculties.
Wonderful! Since you know a priest in the Philippines who can celebrate the Byzantine Divine Liturgy, perhaps he could be persuaded to help. Everything becomes much easier if you don't have to invite someone from overseas.
I hear of occasional Divine Liturgies being celebrated in the Jesuit Residence in Loyola Heights by visiting Jesuits from Eastern Europe and the Middle East.
The late Monsignor Moises Andrade occasionally celebrated the Byzantine Divine Liturgy in the Benedictine Abbey of San Beda in Manila, where the Philippines' Liturgical Institute is located. However, the liturgies were not open to the general public. Eternal memory!
May he rest in peace.
Perhaps from what you say a regular, public Byzantine Divine Liturgy could be arranged with the help of the Jesuits and/or Benedictines? After all, many Jesuits are interested in the Christian East (they run the Pontifical Russian College and the Pontifical Oriental Institute). And the Benedictines are well know for their love of liturgy.
I hope that a Melkite or Ukrainian mission could be set up in the Philippines. It is time for Filipino Catholics to realize that Catholicism is not just made up of charismatic prayer meetings and chatty Novus Ordo Masses.
Not all Novus Ordo Masses are "chatty," thank God many are beautiful and reverent! But I am sure having a regular Eastern Catholic presence in your country would be educational for many people
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Anyway, good luck! I hope you can make something like this happen.