Prepare grill
Cut peaches in half, then in 4 quarters
Cut bacon in half lengthwise
Wrap strip of bacon around each peach slice and secure with toothpick
Lightly brush the bacon-wrapped peaches with olive oil
Put them cut side down for a couple of minutes
Carefully lift them and turn them on the other side until they start to soften and the bacon is crisp at the edges (5 to 7 minutes)Put on platter, scatter thyme leaves on top
Serve immediately and enjoy!