Pat the eye of round steak dry
Season both sides with salt and pepper
Let it rest at room temperature for 20 to 30 minutes
Preheat a skillet, grill, or broiler to high heat
Add a small amount of oil to the pan if using a skillet
Sear the steak for 2 to 4 minutes per side
Cook to medium-rare or medium for best tenderness
Use a meat thermometer if needed
Remove the steak from heat
Let it rest for 5 to 10 minutes
Slice thinly against the grain
Serve immediately