The United States offered to cut some tarriffs on cotton at this round of trade negotiations.

They pushed to get the EU to offer reductions in agricultural tarriffs as well

See article

I am generally in favor of the elimination of all tarriffs. No country needs the protection of arbitrary taxes to favor their products. In a global economy each product should stand on it's own merit.

Also, our system of taxes in the developed world arbitrarily raises the costs of foods for the underdeveloped world. What kind of person raises the price of food to the poor?