In a medium bowl, stir together the cream cheese and jalapeno peppers. Arrange wonton wrappers a few at a time on a clean dry surface. Set a cup or small bowl of water nearby. Place about a teaspoon of the cream cheese mixture onto the center of each wrapper. Moisten your fingertip in the bowl of water and trace the edges of the wonton wrappers. Fold into triangles or follow directions on the package for desired shapes. This part can be done ahead of time and refrigerated or frozen.
Heat the oil in a deep fryer to 375 degrees F (190 degrees C). When hot, fry the wontons a few at a time until golden brown, about 2 minutes. Drain on paper towels. Repeat with all of the wontons, then serve with the sweet chili sauce for dipping.