-- Tap here if you're on a mobile device.

*Editor's note: This article originally published Thursday at 3:27 p.m. and has since been updated to reflect more reports.

There are just over 10 days left until the non-waivers trade deadline. Let's assess the likelihood of deals with the Rangers' most realistic trade partners (in descending order):

Tampa Bay

This makes the most sense. The Rays are sellers. Here is the hang-up: The Rays would prefer to move Jake Odorizzi or Matt Moore, both serviceable and controllable pitchers, but not necessarily "needle-movers." They'd like a package headed by Jurickson Profar or Joey Gallo for one. The Rangers would be more willing to include one of them for Chris Archer. At this point, the Rays don't seem willing to back off Gallo/Profar for Moore/Odorizzi, and the Rangers don't seem willing to budge off Archer if one is to be included. Friday morning, Fox Sports' Ken Rosenthal reported that the Rangers are not optimistic they will acquire one of the Rays' starting pitchers, noting the teams' struggles to match up on a deal. But there is a framework here and a basis for negotiation.

With less than 10 days left before the deadline, this is the kind of thing where both sides could eventually move a little bit. Maybe the Rays include a reliever in a Moore/Odorizzi deal. Maybe the Rangers up the ante for Archer. ESPN's Jayson Stark reported Thursday that a source guessed there was a 70 percent chance of Archer ending up with the Los Angeles Dodgers.

Exec from team that's been talking with the Rays says he sees such a good fit with Dodgers, places odds at "70 pct" Chris Archer lands in LA — Jayson Stark (@jaysonst) July 21, 2016

ESPN's Jim Bowden reported that the Rangers were "shut down" when asking about Archer, and added: "But the Rangers just had 3 scouts watching him, Matt Moore & Jake Odorizzi. Which seems like more than normal due diligence."

But if the Rays are finally ready to move Archer, don't bet on the Rangers just giving that up. They swooped in on Cliff Lee and they met a heavy asking price for Cole Hamels. They could do it again for him.

#Rangers/#Rays staring contest continues. Tampa Bay wants Profar in return for one of their arms; Texas saying no. — Jon Morosi (@jonmorosi) July 23, 2016

In #Rangers/#Rays talks, many Texas prospects have been discussed as part of package; 1B Ronald Guzman, LHP Yohander Mendez among them. — Jon Morosi (@jonmorosi) July 23, 2016

Chicago White Sox

The White Sox, according to USA Today's Bob Nightengale, intend to keep the rotation intact.

The #Whitesox expected to keep rotation intact, but everyone else, except SS Tim Anderson, are in play at trade deadline — Bob Nightengale (@BNightengale) July 21, 2016

And according to Rosenthal, they turned down a "king's ransom" for Chris Sale from a club in the last 48 hours.

Another source says the #WhiteSox were offered a "king's ransom" for Sale in the last 48 hours and responded with a flat "no." — Ken Rosenthal (@Ken_Rosenthal) July 21, 2016

I believe the White Sox do intend to keep the rotation intact, but I also believe the Rangers intend to try to persuade them to part with lefty Jose Quintana, particularly if Sale is not available. The Rangers need 200-inning pitchers. Quintana is one. He'd pitch No. 3 in any playoff series for the Rangers. If Sale, Archer or Sonny Gray aren't available, Quintana is the one guy for whom the Rangers might eventually consider dealing Joey Gallo or Jurickson Profar. The Rangers scouted Quintana's last outing; at the same time the White Sox were scouting both the Rangers' major league club and the minors.

Let's take mystery out of it. If White Sox entertaining Sale talk; Rangers will be involved. Zero doubt. https://t.co/n9f4YPGtgP — Evan Grant (@Evan_P_Grant) July 22, 2016

While Rangers are seriously interested in Sox starters, there have been no serious talks, according to sources. Only due diligence. — Evan Grant (@Evan_P_Grant) July 22, 2016

From 2 days ago regarding Rangers-White Sox. Interest in both lefties (Sale/Quintana). Teams scouting one another https://t.co/K5MjnY3zj5 — Evan Grant (@Evan_P_Grant) July 22, 2016

New York Yankees

The Yankees have inched to within five games of a wild-card berth with a four-game winning streak and may be on the verge of holding. But they now begin a stretch of games against San Francisco and Houston that may just push them back into seller territory. The Rangers have looked at reliever Andrew Miller but also were on hand for solid starts by Ivan Nova and Nathan Eovaldi. Eovaldi is the kind of buy-low guy who is controllable long term and may intrigue the Rangers as a last-minute rotation booster. He's bounced between the Yankees' rotation and bullpen, so even if they aren't in complete tear-down mode, he may well be expendable. He'd be worth a gamble on a second-tier prospect.

Oakland

Rich Hill doesn't exactly set the Jon Daniels trade pants -- I believe they are a pair of spare Sansabelts he keeps in handy for these moments -- on fire. And certainly not for a top-tier prospect. Sonny Gray interests the Rangers and by interest, we mean, makes them salivate. Billy Beane has given every indication that Gray is not available at this point; the thought is that if the Athletics are to trade him, they will wait until the offseason and hope he increases his value with a strong second half and that perhaps the market will grow even bigger. Also note this: Beane is a madman when it comes to the deadline. He's unpredictable. His top evaluator has been watching Frisco this week.

San Diego

About the best that can be said of a possible deal here is that the Rangers once had keen interest in Andrew Cashner, but that was before the 2015 season, before an ugly 16-loss season last year and a 5.00 ERA this season and when Cashner was still under control for multiple seasons. Now: The Padres are desperate to move the soon-to-be-free agent; they aren't likely to get more than a fringy guy in return. Think: Nick Martinez. That's his realistic value level. And I just don't see San Diego settling for that. But one can always dream that best buds AJ Preller and Jon Daniels will come together to make a trade.

Rangers were at Cashner start last night. Preller in Frisco. But don't think TEX make "aggressive" play for him unless other names off board — Evan Grant (@Evan_P_Grant) July 22, 2016

He's a big league pitcher with some upside. Rangers need rotation depth. He's not No. 1 choice, tho, no https://t.co/20kQ2dZF5T — Evan Grant (@Evan_P_Grant) July 22, 2016

Atlanta

Plainly put: Julio Teheran is not available. And the Rangers didn't seem to put a whole bunch of effort into him in the first place.

Twitter: @Evan_P_Grant