At the Valdai, prof. Marandi asked a question about Gaza - Putin gave a long answer - generally supportive of the plan, but only in the context of the creation of a Palestinian state. Rus has contacts with Hamas, and their input is desired. Blair is not known as a peacemaker, but he is an experienced politician. There are many questions about the plan - these need to be clarified before being finalized.
Putin mentioned that many international organisations are led by 'personalities' from the west (FM Lavrov also recently complained about this phenomenon - most UN departments are led not only by westerners, but by representatives of the NATO countries). Over the years - and particularly after the fall of USSR - this made consideration of non-west agenda difficult - which is the main reason for the creation of alternatives (e.g., SCO, RIC (initially), etc.).
The problem with international organisations is not that they are badly constructed and need to be redone, but they have strayed from addressing issues and goals for which they were created in the first place.
Btw, what it means to have history, civilization, and culture - Putin reads from Pushkin's poem about the 1812 war (all of Europe fought against us, but the question is why). Also, the moderator brought up Alexander I, who played a major role at the Congress of Vienna, where matters after the Napoleonic wars were set out (note - the Congress lasted from Sept. 1814-June 1815, showing that war and peace cannot be figured out in 24 hrs.).