I don't know about countries exporting grass fed meat, but in the US there is a growing movement for raising grass-fed cattle and pastured chickens (for meat and eggs) usually within 100 miles of major cities, as opposed to grain-fed livestock raised in large factory farms.
The Omega 3 to 6 ratios of the resulting meat (and eggs) is better than the grain-fed ones. It seems that a lot of these inflammation problems are not only caused by the diet of the average person but also caused by the diet of the average livestock that we're consuming.
http://www.ncbi.nlm.nih.gov/pubmed/16500874