Fetching details from the dictionary...
real intention; true motive; true meaning
彼の真意が読めない。
I can't read his true intentions.
発言の真意を確認するため直接会いに行った。
I went to meet him directly to confirm the true meaning of his remarks.
真意を隠して笑顔で対応した。
I hid my true feelings and responded with a smile.