During a strong defence of the LME's role in the Sumitomo copper scandal, which cost the Japanese company $2.6bn (pounds 1.7bn), Mr Bagri made a thinly veiled attack on Nymex, the New York commodity exchange, and on US regulators who have been demanding reforms of the way the LME is run.
The jealously motivated pressures to which he referred had come from "desperate competing exchanges or from other bodies who believe their way of doing things is the only way to do things".
Speaking at the LME's annual dinner, Mr Bagri said that "just to cite a couple of recent examples," the Daiwa Bank scandal went on for nearly 10 years under stringent US banking regulations and Metallgeselleschaft, the German group, lost more than $1bn trading oil on Nymex.
He added: "One would have thought that sinners would reflect before preaching the virtues of chastity."
A very significant part of the Sumitomo losses was incurred not on the LME but in over the counter trading, with the involvement of banks, Mr Bagri said.
The losses were "at the very least perpetuated and exacerbated by bank financing, largely outside the UK, involving hundreds of millions of dollars".
This bank finance was used for unusual and complex derivatives contracts outside the LME's jurisdiction and control, added Mr Bagri.
British regulators at the SIB are conducting a review of the LME, though recent indications are that they are not planning to announce radical reforms of the way the market is controlled.
Mr Bagri said it was an intensive investigation by the LME which eventually helped to flush out Yasuo Hamanaka, Sumitomo's errant chief copper trader, "from right under Sumitomo's nose, where he had been allegedly trading fraudulently, seemingly undetected, for more than a decade".
The affair was "yet one more example of the long and growing catalogue of failures by companies to exercise proper management control," said Mr Bagri.
The LME, for its part, would bring to book any firm or individual within its jurisdiction found to have broken its rules.
When the Sumitomo scandal broke in the summer, Nymex made clear it thought the problem was due to lax control of the London market.