Previously, the Ecuadorian government was planning on making travel insurance a requirement for entering mainland Ecuador. That has since been cancelled and you will not need to demonstrate proof of travel insurance to enter Ecuador. Entering the Galapagos, however, is another story. The latest news (as of me writing this post) is that travel insurance will at some point be a requirement, but there is no information regarding when this will be enforced. This is part of a very long series of enforcement dates that have been pushed back. It was supposed to be going into effect as of November 1st, but now we basically just don't know when this will be mandatory.