gerund or present participle: courting
be involved with romantically, typically with the intention of marrying.
“he was courting a girl from the neighboring farm”
synonyms: go out with, pursue, run after, chase; More
(of a male bird or other animal) try to attract (a mate).
pay special attention to (someone) in an attempt to win their support or favor.
“Western politicians courted the leaders of the newly independent states”
synonyms: curry favor with, cultivate, try to win over, make up to, ingratiate oneself with; More