grammaticality - "Our Today's Meeting" or "Our meeting that is scheduled for today"

Is it correct to say:

1. We shall discuss it in our today's meeting.

Or would it be more correct to say something longer like:

2. We shall discuss it in our meeting that is scheduled for today.

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ADDED: There is now also a related thread that is attempting to address the grammaticality of the expression "our today's meeting": Why is “our today's meeting” wrong? -- Though, personally (F.E.), I haven't found their arguments for proving that it is ungrammatical to be convincing.