Rondo, who played for the Chicago Bulls last season, met with Lakers president of basketball operations Magic Johnson, sources said. Signing the free agent could fulfill the Lakers' desire to acquire a point guard on a one-year deal. The team drafted point guard Lonzo Ball with the No. 2 overall pick in this year's draft.
Caldwell-Pope's meeting came as he considers options after the Detroit Pistons elected to make him an unrestricted free agent last week.
Several teams that previously were hesitant to pursue Caldwell-Pope have gotten engaged with him after the Pistons removed the threat of matching, sources said. Other teams in talks with Caldwell-Pope that have some cap space have been looking to create more, sources said.
The Lakers currently have $17 million in cap space but can get to $18.3 million in space. They are interested in doing one-year deals to protect their cap space in 2018, when the free-agent market will be loaded with stars.
At age 24 and known as a strong defender, Caldwell-Pope is currently regarded as the top free agent on the market. The four-year veteran out of Georgia averaged 13.8 points and 3.3 rebounds for the Pistons last season.
Information from ESPN's Adrian Wojnarowski contributed to this report.