The phrase "one's initial statement" refers to the first thing someone says or expresses about a topic or situation. It is the first response or comment made by someone in a conversation or discussion. Full definition
Just as you want a clear subject line for your e-mail, you want a very specific initial statement or paragraph in the first part of your message. (lawyerist.com)
Cohen's initial statement on all of this ruled out possible involvement from the Trump Organization and the 2016 campaign, but it conspicuously didn't address Trump personally. (washingtonpost.com)
There were initial statements from the leader of the House of Commons, Andrew Lansley and Shadow leader, Angela Eagle. (totalpolitics.com)