Puerto Rican Sangria (Sangria Criolla)

1 1/2 cups frozen passion fruit pulp, thawed
2 cups pineapple juice
1/2 cup fresh lemon juice
2 cups red wine
2 cups lemon-lime soda
1 cup white rum
1 (6-ounce) can mandarin oranges
ice cubes

Combine all of the ingredients in a pitcher. Chill for at leat 1 hour before serving.