USD/CHF is holding the bulk of the days gains, changing hands at 0.9357/59 late in the day, well nort of the 0.9320/30 area that capped previous forays to the topside.
Sellers of EUR/CHF are seen in the 1.3010/20 area so any further rise in USD/CHF looks like it will pressure EUR/USD lower, especially in thinner Asian markets.
EUR/USD fell as low as 1.3863 in early US trade before buying from macro funds (and probably Mid East accounts) helped prompt a rebound to 1.3920/25. That level remains resistance, with more at 1.3960. Support is down at 1.3865 while stops are seen in the 1.3845/55 area.