'profound speeches' is correct and usable in written English.
You can use it to describe a speech that is deep, meaningful, and thought-provoking. For example, "The keynote speaker was mesmerizing, delivering a series of profound speeches that made the audience reflect on the state of our world."
At the end of a funny, moving and profound speech there is a standing ovation.
Only one good thing has come out of that, and, in a very unlikely climate, it happened to be a great thing: Obama's profound speech about the truths of race and history.
Because of my disability I can move marginally faster than a snail, and I could ask them to stop or to cry for help if only they had the patience to understand what I was saying, given my profound speech impediment.
It was a prophetic speech, a profound speech, quite possibly the most extraordinary of his career.
A sixth grade student stunned the Rhode Island Senate judiciary committee with a profound speech on same-sex marriage.
He should travel to the region, to Jerusalem and Ramallah, and do the nitty gritty work that needs to follow such a grand and profound speech.
Next April 4 will be the 50th anniversary of Dr. Martin Luther King's profound speech at Riverside Church in New York City - exactly one year before his death - in which he named racism, militarism, and materialism as the "deadly triplets" threatening American society.
Fred Hampton, Deputy Chairman of Illinois Black Panther Party, gives a profound speech in Chicago with the verve of a born leader, "You can jail revolutionaries, but you can't jail a revolution".
The term specific language impairment (SLI) defines a category of speech and language disorders in which a profound language impairment represents the primary deficit.
