There is a fare war happening with Star Alliance and OneWorld dropping fares to around $400 round trip flying from Amsterdam, Paris and Rome to SkyTeam hubs in the USA like Atlanta ATL, Detroit DTW, Minneapolis MSP, Salt Lake City SLC, and Seattle SEA.
One example is American Airlines Rome FCO to Seattle SEA for $389 round trip booked through AA.com for all AA codeshares on British Airways operated flights. This means 100% EQM and redeemable miles as long as the BA flights are ticketed as AA codeshares. There are even lower fares booking through European websites, but it harder to get all AA codeshares on BA flights through the European booking engines.
American Airlines Rome FCO – London LHR – Seattle SEA
$388.66 Wednesday March 2 – Sunday March 6
American Airlines Paris CDG – Seattle SEA
$440.06 Saturday March 5 – Thursday March 10
American Airlines Paris CDG – Atlanta ATL
$437.76 Wednesday April 6 – Wednesday April 13
Star Alliance has even more low fare routes from Amsterdam, Paris and Rome
United Airlines Amsterdam AMS – Chicago ORD – Seattle SEA – Newark EWR – Amsterdam AMS\
373.21 EUR = $420 USD Sunday February 28 – Friday March 4
You might want to move on these fares quickly. A low $387 fare on American Airlines AMS-ATL went to $1,100 as I was typing this.