Usage patterns
〈場所〉と親善を深めるto deepen friendly relations with (a country/region)
The two countries deepened their friendly relations through cultural exchange.
親善を図るto seek/promote goodwill
The two governments held talks in order to promote goodwill.
親善のために〈動詞〉to do something for the sake of goodwill
The players held an exchange match for the sake of goodwill.