The question was also asked, “Did Saint Michael and Lucifer communicate?” Of course they did. First, prior to the beginning of time and Lucifer’s downfall through pride, they lived together in heaven. Second, they fought in the famous battle narrated in Scripture (Rv 12:7-9). Third, they communicated again when Satan attempted to steal the body of Moses (Jude 1:9). Fourth, they will directly fight again when Michael chains Satan for the era of peace to ensue (Rv 20:2). Fifth, they communicate every time Michael fights Satan to defend the People of God.
More about the relationship between Michael and Lucifer (now Satan) can be found here.