Inviting people to join you for dinner, a trip, social events, or other occasions is usually done using 'would like' to indicate the invitation.
These are some useful sentences: 1.- Would you like to + verb? 2.- I'd like to ask you to + verb 3.- It would be my pleasure if you would + verb. 4.- May I have the honour of your + name? 5.- We are wondering if you would like to + verb
EXAMPLES: a) Would you like to travel to Asia?
b) I'd like to ask you to join us in our journey.
c) It would be my pleasure if you would come to our party.
d) May I have the honour of your presence to have dinner tonight?
e) We are wondering if you would like to go surfing.