Links to three countries speeches, along with a UN partial report from the 08/05/2021 UNSC meeting:
China:
Let Us Unite and Put True Multilateralism into Practice
Remarks by State Councilor and Foreign Minister Wang Yi at the United Nations Security Council High-level Meeting on the Theme "Maintenance of International Peace and Security: Upholding Multilateralism and the United Nations-centered International System"
USA:
Remarks at the UN Security Council Open Debate on Multilateralism
Secretary Antony J. Blinken Virtual Remarks at the UN Security Council Open Debate on Multilateralism - United States Department of State
Russia:
Upholding multilateralism and the United Nations-centred international system
https://www.mid.ru/en/foreign_policy/news/-/asset_publisher/cKNonkJE02Bw/content/id/4721942
UNSC:
Multilateralism
Security Council: Multilateralism | Meetings Coverage and Press Releases