Bring a large pot of salted water to a boil. Cook the farfalle according to package directions until al dente. Drain, rinse briefly under cool water, and toss with 1 tablespoon of the olive oil to prevent sticking.
Heat a grill or grill pan to medium-high. Brush the zucchini strips, red bell pepper halves, and red onion wedges with 2 tablespoons of the olive oil. Grill the vegetables for 3 to 4 minutes per side until lightly charred and tender. Remove and let cool slightly.
In a small bowl, whisk together the red wine vinegar, Dijon mustard, minced garlic, salt, black pepper, and the remaining 1 tablespoon olive oil until smooth.
Chop the cooled grilled vegetables into bite-size pieces. In a large mixing bowl, combine the cooked pasta and chopped vegetables. Pour the vinaigrette over the top and toss gently to coat.
Stir in the chopped fresh basil and crumbled feta cheese. Serve at room temperature or chill for at least 30 minutes before serving.