Connection trips is often an important part of long-distance travel, especially for air travel. Models of long-distance travel would therefore benefit from a more detailed representation of the connection part. In this paper it is however shown that most models of connection trips are stand-alone models not integrated with the model for main mode. A handful models that integrate connection trip modelling into a large-scale transport model for long-distance travel are found and classified into different types using a typology developed within the paper. The scarce literature on connection trip modelling within large-scale systems call for more research regarding detailed representation of access/egress mode choice and terminal choice, especially regarding the trade-off between model complexity and detailed representation.