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There are flights between the 2 countries but you will need to be more specific about where in Russia you are flying from and where in the Philippines you are going.
Usually, the big cities have the most flights so in this case Moscow or St. Petersberg to Manilla, Philippines.
You can check Flight Connections and it will show you all flight options between any 2 cities.
When you are ready to book, then use Google Flights to see the ticket options.
flightconnections.com
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