Warm the olive oil in a large skillet over medium heat.
Sprinkle salt on the chicken strips and add them along with a quarter cup of chopped sun-dried tomatoes to the skillet. Cook for 5 to 10 minutes, turning the chicken occasionally until fully cooked.
Transfer the chicken and sun-dried tomatoes out of the skillet, leaving the cooking oil inside.
Add the trimmed and halved asparagus to the skillet, season generously with salt, and include another quarter cup of sun-dried tomatoes. Cook on medium heat for 5 to 10 minutes until the asparagus is tender. Then remove to a serving dish.
Prepare the tortellini according to the package instructions and drain well.
Return the cooked chicken to the skillet and mix in the basil pesto. Stir to coat the chicken evenly and warm over low-medium heat for 1 to 2 minutes. Remove from heat.
Add the cooked tortellini and the halved cherry tomatoes into the skillet with the chicken. Stir everything gently to combine. Add extra pesto if desired.
Taste and adjust salt as needed.
Serve the chicken, tomatoes, and tortellini on a plate alongside the cooked asparagus.