The Netherlands international has admitted there has been contact with the Giallorossi, but he has set his sights on a move to a team that will play Champions League football
The Giallorossi finished seventh in the Serie A table this campaign, thus missing out on a place in European club football's elite competition in 2012-13.
"It has been suggested, particularly in Italian media, that I have reached an agreement with Roma. These rumours are not entirely unfounded, but they are still incorrect. My agent Hakim Slimani has spent a day in Rome at the request of Roma and has had a very pleasant meeting with the club," a statement on Van der Wiel's recently launched official website read.
"Roma would like to buy me from Ajax, but Hakim has told them that I prefer a club that will be playing in the Champions League next season.
"Nevertheless, I feel honored that they have shown an interest in me. I have thanked Roma for their interest, but at this moment I prefer focusing on the national team and Euro 2012 and after that I will plan my future."
The 24-year-old has also been linked with clubs such as Real Madrid and Valencia.
Van der Wiel's contract with Ajax runs until the summer of 2013.