According to Rodriguez, Almagro has conducted a campaign of harassment against the government of Venezuela for the past six months.
Earlier this week, Almagro called for an emergency meeting of the OAS Permanent Council to assess the situation in Venezuela. The 35-member grouping held talks on Wednesday; another session should take place on June 10-20.
Venezuelan President Nicolas Maduro has been facing a wave of criticism over discontent with his government and acute economic and social problems, including a drop in oil prices, hospital crises during the spread of the Zika virus, power outages and skyrocketing inflation.
On Wednesday, Maduro said his country was ready to take arms to defend its sovereignty, if necessary.