Mr. Davis sent a similar letter to the Los Angeles committee.

For months, owners have been weighing the merits of the two projects. Mr. Kroenke said he would like to build a domed stadium that would be a part of a larger entertainment district in Inglewood, while Mr. Spanos and Mr. Davis would construct an outdoor stadium in Carson.

In late November, Mr. Kroenke wrote to the owners on the Los Angeles committee to say that he would allow a second team to help pay for the costs of building his stadium in return for half the football-related revenue. But the second team would have no say in the design of the stadium and would not share in any profits from other elements of the project.

The letter was viewed by some league executives as an effort to fracture the partnership between Mr. Spanos and Mr. Davis. The two owners, though, recruited Robert A. Iger, the chairman of the Walt Disney Company, to help build their stadium, should it win approval.

Relocation applications are expected to be filed next month. The owners could vote on them as early as Jan. 12, when they meet again in Houston. At the meeting, the owners will also consider efforts by the cities of Oakland, San Diego and St. Louis to keep their teams from moving.

According to the league’s relocation guidelines, a team cannot leave its home market if there is a credible effort by its host city to keep the team there. Of the three cities, St. Louis has the most developed plan, which includes a $1 billion stadium on the banks of the Mississippi River.