Whisk together the coconut milk, chia seeds, maple and vanilla extract in a mixing bowl. Place in the refrigerator for 30 minutes or more.
Add the mango to a food processor and pulse several times to make a puree.
Fill the molds of a 10-serving popsicle maker by alternating the mango puree and coconut chia mix. Add popsicle sticks and freezer for at least 2 hours.