In bowl, beat cheese by hand until creamy; beat in basil, oil, garlic, salt and pepper.
Spoon into pastry bag fitted with 1/2 inch (1 cm) open star tip.
Using sharp or serrated knife, make X in bottom of each cherry tomato; scoop out seeds.
Pipe cheese mixture into tomatoes.
(Appetizers can be covered and refrigerated for up to 8 hours.)