Are 'common,' 'reinforce,' and 'as basis of aspirations' correctly used in the sentences?

Are 'common,' 'reinforce,' and 'as basis of aspirations' correctly used in the sentences?

Ambassador Calvo said that the common cultural legacy shared by Mexico and Spain must be preserved and enriched. According to him, the Mexicans and the Spaniards have to reinforce their friendship and use it as basis of aspirations.