There are words like "meeting", "gathering" or "get-together" that describe some people coming together for a certain time, for doing certain things together.
Those words may or may not imply that the people getting together are a group (i.e. 3 or more people) -- a meeting can be between two people, but I'd assume that a gathering is typically understood to mean a whole group of people.
Either case, is there any expression or preferebly a single word which indicates that it's exactly two people getting together for some activity?
Words that are typically used for an appointment between two people -- like date or rendezvous -- usually have a romantic connotation. I'm basically looking for a more neutral equivalent.