Preheat the oven to 375 degrees F and line a large baking sheet with parchment paper.
Slice the French bread and place on the prepared baking sheet. Drizzle with olive oil. Transfer to the oven and continue to bake until golden brown and crisp, about 8 minutes, flipping halfway through.
Remove the crostini from the oven and set aside.
Make the Blue Cheese Spread:
While the crostinis are baking, in your food processor, add the blue cheese, sour cream and lemon juice and blend until just smooth.
Assemble the Crostini:
Spread about 1-2 tsp of the blue cheese spread onto each crostini. Top each with a small slice of salmon then sprinkle with the chives. Serve and enjoy!