Heat oil in a heavy saucepan.
When oil is hot, add carrots and garlic and toss to coat.
Cook covered, over medium-low heat until tender, about 30 to 40 minutes, stirring occasionally.
Cool for 5 minutes.
Preheat oven to 325°F (165°C). Lightly grease or spray six ½-cup (125 mL) ramekins or other oven-friendly cups.
Set aside.
Add in eggs and purée for 1 minute or until mixture is well combined.
Place timbales into a roasting pan.
Pour boiling hot water into roasting pan until it comes ½ way up the sides of the ramekins.
Place in oven and bake for 40–45 minutes.