PJ Williams & Kwon Alexander
This is the way the Saints do it with free agents. They place a value, offer a contract, and then they wait. Some players get better offers and leave (TA, Williams, Ingram) and some come back. Once in a while they pull an offer after replacing a player who doesn't sign, such as Ingram.
PJ, Kwon and TQS are likely all coming back at the number the Saints set for them.