We know that reinforcement is key to creating new neural pathways. It takes 10,000 repetitions to master something. So the process of integration at the neural level, developing and maintaining the pathways created by psychedelics, very much seems to match the process of integration at the psychological level. Apply the information.
So things like revisiting your trip in meditation, drawing, painting, or writing it out, any method of applying the information, ideas, or skills you learned during the experience will all work to reinforce those new connections and pathways. During and post-psychedelia is an excellent time to start creating new habits and routines and concurrently step away from those old ingrained patterns of thought and behavior.
Of course we've still got a long way to go on the research side to conclusively demonstrate all this. Hopefully we'll start seeing more studies following up the neural correlates long-term and get some idea for what kind of physical changes are happening in the brain.