In a large pot of salted boiling water, cook the farfalle pasta according to package instructions until al dente. Drain and set aside, reserving about ½ cup of the pasta water.
While the pasta is cooking, season the chicken breasts with salt, pepper, and Italian seasoning. In a large pan, heat the olive oil over medium heat. Add the chicken breasts and cook for 6-7 minutes on each side, or until the internal temperature reaches 165°F (75°C) and the chicken is golden brown. Remove from the pan and let it rest for a few minutes before slicing it into strips.
In the same pan, add the minced garlic and sauté for about 30 seconds until fragrant. Pour in the heavy cream and bring it to a gentle simmer. Stir in the grated Parmesan cheese until melted and creamy. If the sauce becomes too thick, add some reserved pasta water to achieve the desired consistency.
Add the cooked pasta and sliced chicken to the sauce. Toss gently to coat everything evenly. Fold in the halved cherry tomatoes, allowing them to warm slightly.
Plate the pasta and chicken mixture, garnishing with fresh basil leaves for a pop of color and fresh flavor.