There’s a whole organization devoted to this (https://urmath.org/curm/) in addition to an MAA special interest group (SIGMAA) with the following mission statement:
The purpose of UR SIGMAA is to promote and broaden participation in undergraduate research in mathematics by supporting faculty serving as mentors and by supporting interested students. Specific objectives include: Facilitating discussion among mathematicians and mathematics educators interested in undergraduate research, promoting undergraduate research within the MAA, through greater awareness of the work in this area currently underway, and by providing encouraging members to become involved, providing development opportunities for faculty interested in beginning work in undergraduate research, and recognizing accomplishment in undergraduate research in mathematics.
UR 4 ALL: Embedding Undergraduate Research into Courses in the First Two Years. Maria Mercedes Franco, Nancy Ann Neudauer, Kathryn Kozak. This workshop helps math faculty at 2- and 4-year colleges integrate research into early math courses, fostering collaboration, inclusion, and student success through scaffolded mentoring and research projects.
Registration should be open by April 1. https://maa.org/resource/open-math/
See CURM site above. Annual deadline of December 15 to apply for a spot in the subsequent summer workshop. Check with your chair, dean or development office to see if there are local resources to support students or faculty with summer research projects.
How?
I have had some success recruiting students for summer research by giving them "topics for further study" toward the end of a semester. The idea is to give inquisitive students something else to work on (alone, if preferred) related to the topics in the course they have just completed. Some students have taken these on and talked to me about them over the subsequent break. Some have turned into full-blown summer research projects. Here's an example from a sophomore-level Discrete Math course.
These might be unnecessary for a regional meeting, but even for national meetings it is often easier to find funding for students than professors. Establish a tradition of undergraduate students traveling to their local section meeting to present their research.
Links to dozens and dozens of titles/abstracts:
https://sites.google.com/view/dougensley/projects/student-paper-abstracts