5:20pm: Nick Piecoro of The Arizona Republic reports that the Diamondbacks are making a strong push for Galarraga and the two sides are exchanging names. He says that Single-A right-hander Kevin Eichhorn has been discussed, and it appears as though the D'Backs could take on Galarraga's salary in full.
Eichhorn, 21 next month, was Arizona's third round pick in 2008. Baseball America rated him as the team's 18th-best prospect in the 2010 edition of their Prospect Handbook, noting that he sits 87-91 with his fastball and already has a "solid three-pitch mix." In 86 1/3 innings last season, Eichhorn posted a 5.00 ERA with 8.4 K/9 and 1.9 BB/9.
3:18pm: MLB.com's Bill Ladson says that the Nationals are not interested in Galarraga because they do not consider him an upgrade over what they currently have in their rotation (Twitter link).
2:21pm: Beck has some more from Dombrowski: "We're making some progress on some trade talks at this point," said the GM. "Not quite sufficient to make any announcements, but I would think by the middle of next week we would be in a position where we would make a deal."
Meanwhile, Paul Hoynes of The Cleveland Plain Dealer says not to expect the Indians to get involved (Twitter link). Galarraga's $2.3MM salary is too rich for the Tribe.
Galarraga was designated for assignment earlier this week after the team's one-year contract with Brad Penny was made official. Dombrowski said he was "confident" that a market would develop for the right-hander, who posted a 4.49 ERA with 4.6 K/9 and 3.2 BB/9 in 144 1/3 innings last season. He, of course, is most famous for his near perfect game last summer.
The 29-year-old Galarraga avoided arbitration by agreeing to a one-year contract worth $2.3MM just a day before being DFA'd. A number of clubs are still looking for rotation help, including the Yankees, Orioles, Indians, and Nationals, though their levels of interest in Galarraga is unknown.