The phrase "a message suggesting" is correct and usable in written English.
You can use it when referring to a communication that implies or proposes an idea or action without stating it directly.
Example: "The report included a message suggesting that we reconsider our current strategy for better results."
Alternatives: "a note indicating" or "a communication proposing".
Using their common name as his premise, he left a message suggesting they have breakfast.
He later sent a message suggesting that his account had been hacked.
Yet he did so reluctantly, and an hour before the interview, he left a message suggesting that it be postponed.
Another user, called @flowingmindset, duly sent Ferdinand a message suggesting the FA were guilty of double standards.
Dissidents remain in jail following widespread protests in 2010-11.Shashank Jofhi of RUSI, a think-tank, says that it sends a message suggesting "a narrow and myopic" definition of regional stability.
One blogger advised readers to use baking soda to clean pet stains on carpets, while the mother who runs the Canning With Kids blog sent a message suggesting that readers "decorate with plants that clean the air".
His immediate callback after she leaves him a message suggests he's been thinking about her and so it proves – their meeting over coffee about the reservoir is loaded with subtext.
He said the policy clearly indicated, without saying so explicitly, that what was expected was a religious message, "suggesting that a solemn, yet nonreligious, message, such as commentary on United States foreign policy, would be prohibited".
Early this month, Mr. Rogozin, the Russian deputy prime minister, posted a Twitter message suggesting that Romania had a secret plan to annex Moldova, after supporting Moldova's integration into Europe.
Schalke revealed Embolo's signing to thousands of fans at its annual members' meeting, with a video message suggesting the club beat interest from other European sides including Barcelona, Manchester United and Arsenal.
The chairman took to Twitter on Tuesday evening and posted a bullish message suggesting he was close to appointing his first-choice candidate, despite the lengthy and fruitless talks aimed at securing Sherwood.
