I'm planning to travel to Europe (Malta) for a few days this coming Eid holidays. I still have a valid Schengen visa (valid until next month), but my UAE Residence Visa is expiring next month. I hold a Philippine passport. Just wondering if this will be an issue.
Once you have a visa, the rules regarding entry in the Schengen area are laid out in the Schengen Borders Code (Regulation 562/2006). The relevant part is article 5 (that's the consolidated version, this was added recently):
So your passport must be valid for at least three months after your intended departure date. There are a few other conditions but nothing that suggests that the UAE visa/residence permit would be an issue. On the UAE side, if it's like in (the countries I know in) Europe, you could probably reenter the country until the last day of validity of your residence permit but I really don't know.