Oil prices recovered slightly in early Asian trading on Wednesday after falling to one-month lows in Tuesday's session. Sentiment in markets remains bearish, with traders focused on a potential peace deal between Ukraine and Russia. At the time of writing, Brent crude was trading at around $62.72 a barrel while West Texas Intermediate was changing hands at $58.17 - both up by 0.38%. Against a backdrop of increasingly bearish signals, the American Petroleum Institute provided a rare piece of positive news for oil prices, with U.S. inventories falling…