Fund and Complete the Border Wall Act This bill establishes funding for a U.S.-Mexico border barrier and revises how border patrol agents are compensated for overtime. The Department of the Treasury shall set up an account for funding the design, construction, and maintenance of the barrier. The funds in the account are appropriated only for that purpose and for vehicles and equipment for border patrol agents. For each fiscal year, financial assistance to a country shall be reduced by $2,000 for each citizen or national of that country apprehended for illegally entering the United States through its southern border. The reduced amount shall be transferred to the border barrier account. The Department of State may opt not to reduce amounts appropriated to Mexico for various military and law enforcement-related activities. This bill establishes a 5% fee on foreign remittance transfers and increases the fee for the arrival/departure I-94 form for various aliens entering the United States, with part of the fees to go into the border barrier account. By December 31, 2023, DHS shall (1) take all actions necessary, including constructing barriers, to prevent illegal crossings along the U.S.-Mexico barrier; and (2) achieve operational control over all U.S. international borders. The bill changes how border patrol agents receive overtime pay when working up to 100 hours in a two-week period. For hours worked above 80, an agent shall receive at least 150% of the agent's regular hourly rate.

Secure the Border Act of 2023 This bill addresses issues regarding immigration and border security, including by imposing limits to asylum eligibility. For example, the bill requires the Department of Homeland Security (DHS) to resume activities to construct a wall along the U.S.-Mexico border; provides statutory authorization for Operation Stonegarden, which provides grants to law enforcement agencies for certain border security operations; prohibits DHS from processing the entry of non-U.S. nationals (aliens under federal law) arriving between ports of entry; limits asylum eligibility to non-U.S. nationals who arrive in the United States at a port of entry; authorizes the removal of a non-U.S. national to a country other than that individual's country of nationality or last lawful habitual residence, whereas currently this type of removal may only be to a country that has an agreement with the United States for such removal; expands the types of crimes that may make an individual ineligible for asylum, such as a conviction for driving while intoxicated causing another person's serious bodily injury or death; authorizes DHS to suspend the introduction of certain non-U.S. nationals at an international border if DHS determines that the suspension is necessary to achieve operational control of that border; prohibits states from imposing licensing requirements on immigration detention facilities used to detain minors; authorizes immigration officers to permit an unaccompanied alien child to withdraw their application for admission into the United States even if the child is unable to make an independent decision to withdraw the application; imposes additional penalties for overstaying a visa; and requires DHS to create an electronic employment eligibility confirmation system modeled after the E-Verify system and requires all employers to use the system.