It revolves around the phrase "the greatest spectacle in racing," which was originally trademarked by former track owner Hulman and Company in 1986, and which has been used extensively in promotion ever since.
Early last year, the Liberty Media-run Las Vegas GP used the phrase "the greatest racing spectacle on the planet" on social media, and subsequently, Boles expressed his displeasure to F1.
At the time, he told the local newspaper the Indianapolis Star, which has been monitoring the ongoing dispute: "They couldn't have been more gracious, saying, 'Yeah, yeah, we've got it, no problem."
However, the American venue's frustrations were further ramped up when subsequently the words "the greatest spectacle in motorsports" were used by musician LL Cool J as part of his introduction of the drivers on the grid before the Miami GP.
After a further conversation between Indianapolis management and F1, the latter agreed to no longer use similar wording in any promotional activities.
While the earlier incidents were under the control of F1 and Liberty Media, Indianapolis was further riled this week by the use of the same phrase by their US broadcast partner ESPN, with "the greatest spectacle in motorsports" mentioned in a season preview trailer voice-over.
In a statement given to Autosport Boles said: "We are aware of the use of our mark in what appears to be a broadcast promotional spot.
Source: Autosport