It is common for midnight and noon to be described as 12 am and 12 pm respectively. You have quoted convention accurately. As is often the case, however, convention is incorrect.
The meridian is an imaginary line that cuts the earth exactly in two. At noon precisely, the sun is at its highest point in relation to the meridian. Before then, it is ante meridian (ie before the sun has crossed the meridian line, or am) and after, it is post meridian (after the sun has crossed the meridian line, or pm). At noon, it is directly above the meridian line, and it is neither ante nor post, ie neither am nor pm.
The correct terminology is, therefore, 12 Noon, and 12 Midnight.
You may now continue to discuss the match.