In a bowl, combine oats and shredded coconut with 1 1/2 cups water and refrigerate overnight.
Transfer mixture to a saucepan and add milk, cinnamon, and salt. Bring to a boil, then reduce heat and simmer, covered, until creamy, about 12 minutes. Remove from heat, stir, and cover.
Heat oil in a medium skillet over medium-high heat and saute nectarines until golden, 1 to 2 minutes, before stirring in syrup.
Divide oats between two bowls and top with nectarines and coconut flakes. Drizzle with additional syrup, if desired.