Fisher's visit with the Rams lasted more than 4 hours, according to the St. Louis Post-Dispatch, and he left in a black sport-utility vehicle driven by executive vice president of football operations Kevin Demoff. Fisher also met with quarterback Sam Bradford, the newspaper reported.
The Dolphins could dangle more money, but several people have advised Fisher that the Rams offer the better position. Fisher interviewed with the Rams last week in Denver, where owner Stan Kroenke resides, and Sunday's visit was the next part of the process.
Follow Jason La Canfora on Twitter @jasonlacanfora.