To achieve a modern European kitchen with sleek lines and minimalist design, stick to a minimalist color palette. Opt for neutral colors like white, gray, and black to create a clean and timeless look. Use these colors for the cabinetry, countertops, and backsplash. Consider adding a pop of color through accessories or a statement piece like a vibrant kitchen island. Keep the overall color scheme simple and cohesive to maintain the minimalist aesthetic.