Link. With wavers, does each team starting with the worst get a chance at trading for him or just acquiring him? If say the Brewers want him, if the Cubs reject their offer, Eyre can't go to the next team can he because it is one-shot opportunity? In Eyre's case, everyone has already passed on claiming him so he can't be acquired unless the Cubs trade or release him. Every team in baseball gets a chance to make a claim. Who actually gets the players is determined as follows: 1. If there is only one claim, the player goes to that team. 2. If there is more than one claim from teams in the same league, precedence is given to the team currently lower in the standings. 3. If there is more than one claim from in different leagues, teams in the same league as the waiving team have priority over all teams in the other league. So, for example, say the Cubs request waivers for Bob Howry. He is published on the requests for waivers list, and teams have 3 business days to make a claim. 1. One team makes a claim: the San Francisco Giants. Howry is assigned to the Giants. 2. Two teams make a claim: the Milwaukee Brewers and the San Diego Padres. The Padres receive Howry because they are lower in the standings. 3. Two teams make a claim: the Milwaukee Brewers and the Seattle Mariners. The Brewers would receive Howry because they are in the same league.