Inexpensive one way flights from Paris to Oregon

Make sure you are comparing "apples to oranges" when looking at airline sites vs 3rd party sites. Until you click through on Orbitz and Kayak, you aren't necessarily seeing an accurate price. What they report, as I understand it, are "recent" purchase for the flights you are looking at, not necessarily the actual current price.

Finally, when you buy from these sites and not the airlines, and there is problem, the airlines won't help you - they will refer you back to where you bought the tickets. Caveat emptor...

I personally would not trust a 3rd party site because if there is a cancellation or unacceptable flight change it's almost impossible to get anyone to fix it.
Do you have any credit card points that you could transfer to an airline program and get a "free" ticket, paying just fees and taxes?

Both of those comments definitely make sense. And a good reminder from my younger years of traveling as cheap as possible. Thank you!

Do not, do not, do not use third party sites . There are so many folks here lamenting that folly. When you have problems with a flight cancelation, you have a REALLY big problem.
Flights are expensive post Covid.
Use Google Flights to track air fares and set up price alerts. Check several times daily for flight prices. Have a lucky charm. But always book directly !

https://community.ricksteves.com/travel-forum/general-europe/looking-for-airfare-advice-from-you-travel-savvy-pals

Several complaints about air fares. You are not alone, sadly.

There is no cheap airfare fairy...... Those sites do NOT have access to airfares that aren't on the airline site. What will happen is they will come back with "opps too bad, we need more money"

You should be looking at booking 'multi-city' ( aka open jaw) tickets, not one-way tickets.

I have found one way tickets, US -Europe, are as much if not more than r/t or multi-city tickets

You can use kayak/orbitz to do research, but buy from the airline

I am puzzled why if your home is Oregon you need a one way ticket back. How did you get there or plan to get there?

If you want to fly into one city and out of another, get an open jaw (multi-city-) ticket. I am pricing our trip in the fall into Milan or Florence or Lisbon and then home from Paris -- the costs are about the same as a round trip to Paris. This last spring we flew into Paris and out of Berlin home to Chicago. And this spring I am flying into Paris and out of Limerick Ireland with a connection (dreading this) in Heathrow. costs about the same as flight to and from Paris.

One way tickets are always horrendous for cross atlantic travel.

Unless you are in France right now after a long stay you weren't sure of when you were leaving and got there on a one way, then multi city tickets are the way to go.....NO WAY you will find a cheap ticket looking up one way fares

Hmm. We made our one way flight over already. And then planned a couple of other “trips” within Europe but we haven’t booked anything yet. It may be too late to connect them all. But I’ll look into it to see if we can modify it to at least include our round trip home. Thanks so much. Very helpful!

The Going website lists these airlines as offering cheap one way tickets. TAP Air Portugal, Condor, Wizz Air, LEVEL. You might take a look.
1. Be flexible in your routing. You may find better prices flying to the East Coast and then switching to a carrier that does one way pricing such as Alaska. You may need to fly to another Hub besides Paris on your routing. It seems counterintuitive, but going to a different location, such as Istanbul for Turkish Airlines, might just save money.
2. Check your frequent flyer miles. These are usually priced as one way from Europe with miles.
3. Put your desired day of flight on the forum. We have an amazing group of flight detectives that might just help you find the bargain you are looking for.

First of all, I want to express my gratitude for everyone’s response! We called United to see about making our one way ticket into a round trip even though we will have a smaller flight within Europe. Our first leg is 860 from a Paris to bologna but another one way would have been easily another 1,000 plus! We were able to change it to a round trip with no change fee for an additional 200!!!! So a RT ticket now costs me $1,061!! Thank you, thank you! And no worries about a third party. Thanks you also for the last post about cheaper airlines for one way in case I need it for the future. I love this site!

Correction. In my excitement I said the wrong flight. From Eugene Or to Bologna it cost 861. Thanks again

@estatoo, so happy for you. Thanks for coming back and sharing a story with a happy ending! Safe travels!