Heat oil over medium heat in large non-stick pan. Add onion, chili, cumin and salt; cook, stirring occasionally, until soft. Add turkey; cook stirring occasionally until cooked through. Add tomato paste and water and simmer until liquid evaporates. Remove from heat.
Combine tomato, avocados, lime, onion, cilantro and jalapeño in a small bowl.
Fill lettuce leaves with warm turkey mixture and avocado salsa, dividing evenly.