Mince the carrot, onion, mushroom, and shrimp. Place all the minced ingredients in a large mixing bowl.
Add the ground pork, sesame oil, salt, pepper, and egg. Mix until all the ingredients are well blended.
Scoop 1 to 1 1/2 tablespoons of the shumai mixture. Put it in the middle of a Won ton wrapper. Secure while leaving the top open.
Arrange the wrapped siomai into a steamer. Steam for 20 to 25 minutes.
Serve with chili garlic paste and a dip of soy sauce and calamansi (or lime).