You'd need an array formula for the multiple criteria match. Unless you're wanting to sum a numerical value, however, if there were multiple matches it would sum the range specified instead of just returning the first index match.
Array example (confirmed with CTRL+SHIFT+ENTER instead of just ENTER):
=INDEX(range,MATCH(item1&item2,item1Range&item2Range,0))
All ranges in the above must be of identical size.
If there aren't multiple criteria matches, check out the SUMIFS function, which is non-array entered.