Small claims suits cannot exceed $3500, excluding interest and court costs. Small Claims is an informal method of resolving civil disputes; formal rules of procedure do not apply.
Don't say you expect to recover any more than £10,000 - if you do, your case won't be treated as a small claim. If you're making a claim for something your landlord hasn't repaired, the maximum amount you can get in a small claims case is £1,000.
In sum, there is no formal minimum amount required to file a small claims case in the Philippines. The small claims rules are silent on any bottom threshold, focusing instead on a maximum jurisdictional limit of PHP 400,000.