that participation in the competition should be made mandatory for every player. That would mean elevating the Davis Cup to the same status as that of the ATP Masters 1000 events and, of course, the grand slams.
The big question was whether Murray actually believes it is workable or whether he was really having a dig at the existing set-up of men's tennis. "We don't have much flexibility in our schedule and that's why I don't understand why they don't make Davis Cup a mandatory event," he said. "We don't [shouldn't] get to decide which ones we do and don't play."
I would suggest that those are the words of a player frustrated by the lack of freedom as to how much tennis he plays, as opposed to someone who genuinely wants to make sure that every player in the world, himself included, must be available to play in every Davis Cup tie his country faces.
The constant grimace on his face during yesterday's first singles rubber certainly didn't suggest this is a man eager to add two or three extra tournament weeks to his schedule in the next few years.
I'm sure the grimacing was more to do with discomfort in his back, than his unhappiness at being here. Even so, it highlights the strain he puts his body under on a regular basis; it makes it even harder to believe he would be advocating another mandatory event.
Whatever the motivation for his remarks, the International Tennis Federation, which runs the Davis Cup, will be delighted Murray has brought the issue back into the spotlight. There has been talk in recent years of the competition being revamped into a World Cup-style event as opposed to being spread throughout the year. The chances of that are remote but Murray's comments will surely trigger some further discussions about the future of the competition.
Those comments are not the only talking point in Umag. Perhaps a bigger issue is the absence of the Croatian No.1 Marin Cilic. There is something strange about being at a tennis event in Croatia and having the feeling that their top player has fallen off the face of the earth.
The reason for it is that, during Wimbledon, the Croat was notified that he had failed a drugs test earlier in the year. He didn't take to the court for his second-round match at SW19 and hasn't been seen on a tennis court since as he awaits his tribunal. Because of a current agreement with the World Anti-Doping Agency, the ITF have committed to remaining silent until each individual has gone through the tribunal process.
This is supposed to happen within six weeks of the athlete being notified of a failed drugs test, yet it is now past the six-week mark and we are still waiting for an announcement from the ITF.
My understanding of the situation is that it was a minor error on Cilic's part and he is devastated that his name will be forever linked with failing a doping test but, until we hear any official announcement, or from the man himself, it all remains speculation.
Speaking as someone who had a career in the sport, one thing is very clear in my mind: the goal for the anti-doping strategy in tennis has to be to catch people who are genuinely cheating. The banned substance list is so complicated that it is almost impossible to be aware of everything on it.
We need to be very careful about punishing people who have made a mistake with something that really wouldn't enhance their performance, while sophisticated cheats do not get caught. The system should make the lives of clean athletes simpler and make the cheats stand out like a sore thumb.