I'm beginning to think there was a worldwide trade network in prehistoric times and that any part of the network may, or may not, know of the lands where some of the traded goods originated. This could explain how coca leaves (apparently) end up in Egypt and must have been very expensive. These trading links would break and re-establish at various times.(?)
Some of the South American natives have a 'Chinese like' attraction to jade.
That is one thing that strikes me as a big potential clue: if it were possible to establish any cultural and/or chronological correlation between jade art styles in China and America, it might help pinpoint when cultural exchange may have occurred.