** Australian mining stocks .AXMM rise 1.4% to their highest levels in one week

** The sub-index on track for a strongest trading session since March 17

** Iron ore futures climb on higher demand for the steel-making ingredient IRONORE/

** Mining giants BHP BHP.AX, Rio Tinto RIO.AX and Fortescue FMG.AX log gains between 0.9% to 1.3%

(Reporting by Sneha Kumar in Bengaluru)

((Sneha.Kumar@thomsonreuters.com;))