Oil markets remained on edge early on Monday in early Asian trade, with all eyes on reports of potential progress in the Russia-Ukraine peace talks. At the same time, a strengthening U.S. dollar is adding downward pressure to prices, with both major benchmarks having lost roughly 3% last week. At the time of writing, West Texas Intermediate was trading flat at $58.05 while Brent continued to hover around $62.58. Last week's decline saw oil prices settle at their levels since October 21, as markets weighed the possibility that a peace deal could…