Jennefer,
I think that the ferry flight to Sweden should be around 7000 dollars. A Piper PA 28 to Italy is about 11000 dollars.
Ferry pilots, fly new planes.I do not know if you can find one that accept to pilot over the ocean a plane of 30 years.
You can ask to an aircraft dealer to know about it.
More realistic is to ship the plane. You have to dismount and then mount the wings. 4000-5000 dollars? plus shipping. Carl or Gary could give you you more informations.
If it is an adventure....
Your idea is wonderful! I would like to do it in the opposit direction. Never done I think. One other idea is to fly along the 70°N from Russia to Siberia ,Alaska, Canada.
But you need a lot of experience! Sorry,at least hundreds of flight time hours.And not hours around your field! If this is a challenge,if is the your dream, you have to take the PPL, and then you have to go to fly in the countries you will overfly. Iceland, Greenland....If you have time and money enough you will be able to do the necessary experience in three-four years.
Shall be very different to fly around your field in Sweden during the lessons and ... go to Iqaluit! or Faroe islands.
So many thing you have to learn and try.
Have your license ,come here.I shall be glad to fly with you from Roma to the Mediterranean islands.
I- NCAA, unfortunately a certified airplane
The plane was sold to a club. Too heavy bureaucracy.