Preheat your oven to 375 degrees F. Set baguette slices on a baking sheet. Bake until lightly toasted, about 6 to 8 minutes, and then set aside.
Preheat your non-stick indoor grill to medium-high. Place lime juice and oil on a wide plate. Halve the pear lengthwise and remove the core. Cut the pear halves lengthwise into 16 thin wedges. Set pear wedges on the plate and toss to coat with the lime juice and oil. Grill the pears, in batches, about 30 seconds per side, and then set on a clean plate.
To make the canapés, spread some chutney on each baguette slice and set on a platter. Top each baguette with a slice of cheese, mint leaf and slice of pear, and serve.
Note: The baguette used for this recipe was about 2 1/2" to 3" wide.