Sunday marks the fourth day of walkouts, while union workers continue to protest for what they say are unfair wages and high health bonuses.
Negotiations between Stop & Shop and the United Food and Commercial Workers continued on Saturday afternoon.
Workers at more than 200 Stop & Shop stores left work Thursday in Connecticut, Massachusetts and Rhode Island.
Stop & Shop says it has come up with a plan that includes general increases, sickness and pension benefits. The Union disagrees, saying the increases would be absorbed by higher health costs.
"Every day we come to work at Stop & Shops in New England, we pour our sweat and tears to the benefit of this company. All we are asking for are fair wages and work practices, "said Brian Horsley.