I used them as an example in regard to items warehoused in the US and shipped to the UK/EU (item not stored in UK/EU warehouses). FWIW, I've run into the same issue in reverse, and neither situation qualifying for any of the free shipping deals that may exist as it's an imported item/s.
Well, Digi-Key has only one warehouse, the one in Minnesota, and all orders for the entire world are shipped from there. They must get one hell of a deal with UPS and FedEx, given that they ship 15,000 orders per day! (Apparently Digi-Key does all the pre-sorting themselves, delivering to UPS air containers that are ready to go on the plane.)
I just ordered from them recently, and it really is free 2-day air. (I placed my order on a Wednesday evening, and it arrived Friday midday.) And they do their own customs clearance, so no surprise fees, but UPS collects the VAT on delivery. (Amazon, Reichelt, Conrad, etc. do both customs clearance and collecting VAT, even easier.)
Farnell is really odd: If you order from their Swiss country site (which sadly is German and French only, no option to revert to English!) they've got free shipping for orders CHF50 and up, and items from USA say "no additional shipping charges, 10-14 days delivery, non-cancelable, non-refundable". But if you order from their generic "export" site, shipping is undefined, and they can't quote it before shipping an order. They apparently bill your card for the order, then go pack it, and then bill you again for shipping after the fact. o_O
But according to a customer service rep, Farnell doesn't do customs clearance, so I won't order from them, since that almost guarantees surprise fees on delivery in Switzerland. (If anyone in CH has experience with them, let me know.)
With Digikey, for Romania I think it's free shipping for any order higher than 200$ but it could be lower amount these days.
FYI, seems to be free shipping on minimum orders of USD100/210lei.