* FSB says not time to pause in regulation

* FSB says regulations should not renationalise markets

* Industry says too little coordination among countries

(Adds details, industry comment)

By Huw Jones

BASEL, Switzerland, June 27 (Reuters) - Policymakers should continue pushing to make financial markets more resilient as there were still signs of fragility, Financial Stability Board Chairman Mario Draghi said on Saturday.

Some regulators have expressed concern there could be a temptation to ease efforts to beef up rules as "green shoots" of economic recovery appear.

Banks are also showing signs of returning to aggressive hiring and big bonuses, raising fears that lessons from the worst market crisis since the Great Depression are not being learnt.