Cook the bucatini pasta in salted boiling water until al dente. Drain and set aside.
In a frying pan, heat olive oil over medium-high heat.
Sauté garlic until fragrant, about 1 minute.
Add steak slices and cook until browned. Remove from pan and set aside.
In the same pan, cook the shrimp until pink and cooked through.
Return the steak to the pan and add the Calabrian chili paste and cherry tomatoes.
Combine the drained pasta with the steak and shrimp mixture.
Season with salt, pepper, and fresh basil.
Serve hot with grated Parmesan cheese.