Preheat oven to 200 C. Line a baking tray with baking paper.
Heat olive oil in a small saucepan over medium heat; add garlic and cook until soft, about 3 minutes. Mix in white wine, honey, balsamic vinegar, mustard, salt and pepper. Simmer, uncovered, for about 3 minutes, or until slightly thickened. Take off the heat and add oregano.
Arrange salmon fillets skin side down on prepared baking tray. Brush fillets with balsamic glaze.
Bake in preheated oven for 10 to 14 minutes, or until flesh flakes easily with a fork. Brush fillets with remaining glaze. Use a fish slice to transfer fillets to serving platter, leaving the skin behind on the tray.