I will once more mention the final document of the First Special Session of the General Assembly devoted to Disarmament (1978).The report devotes more space to conventional weapons than I would’ve expected. Take, for example, paragraphs 22-24:

Together with negotiations on nuclear disar- mament measures, negotiations should be carried out on the balanced reduction of armed forces and of conventional armaments, based on the principle of undiminished security of the parties with a view to promoting or enhancing stability at a lower military level, taking into account the need of all States to pro- tect their security. These negotiations should be con-ducted with particular emphasis on armed forces and conventional weapons of nuclear-weapon States and other militarily significant countries. There should also be negotiations on the limitation of international transfer of conventional weapons, based in particular on the same principle, and taking into account the in- alienable right to self-determination and independence of peoples under colonial or foreign domination and the obligations of States to respect that right, in accordance with the Charter of the United Nations and the Declaration on Principles of International Law concerning Friendly Relations and Co-operation among States, as well as the need of recipient States to protect their security.

Further international action should be taken to prohibit or restrict for humanitarian reasons the use of specific conventional weapons, including those which may be excessively injurious, cause unnecessary suffering or have indiscriminate effects.

Collateral measures in both the nuclear and conventional fields, together with other measures specifically designed to build confidence, should be undertaken in order to contribute to the creation of favourable conditions for the adoption of additional disarmament measures and to further the relaxation of international tension.