Heat the olive oil in a large skillet over medium-high heat.
Season salmon fillets with salt and pepper then place them in the skillet; cook for 2 to 3 minutes per side or until fish flakes easily when tested with a fork.
Pour lime juice over salmon then remove from the skillet and set aside.
In the same skillet, add remaining ingredients (green onions through chopped tomato); cook until mixture starts to simmer then season with salt and pepper to taste.
To serve, pour sauce over salmon.