My reading of Article I, Section 3, Clause 3 seems pretty clear.
"For any Bill or Resolution to pass the Senate, it shall have gained a majority in a valid vote. Before the Bill or Resolution becomes Law, it shall be presented to the President of the Republic of Atlasia, unless it be concerning the rules for the proceedings of the Senate. If the President approves, he shall sign it, and it shall become Law."
In the past, I remember resolutions expressing soley the Senate's view needed no signature from the President.