Pillar went 1-for-4 with a walk, a solo home run, a second run scored and a stolen base in Friday's 9-7 loss to the Astros.
The Angels reinstated Pillar (thumb) from the 10-day injured list Friday.
The Angels announced Monday that Pillar (thumb) has yet to resume baseball activities since being placed on the 10-day injured list Saturday, Rhett Bollinger of MLB.com reports.
The Angels placed Pillar on the 10-day injured list Saturday with a sprained left thumb.
Pillar is out of the lineup for Wednesday's game against the Tigers, Jeff Fletcher of The Orange County Register reports.
Pillar will start in left field and bat third in Sunday's game against the Blue Jays, Jeff Fletcher of The Orange County Register reports.
Pillar will serve as the Angels' designated hitter and No. 3 batter in Sunday's game against the Nationals, Rhett Bollinger of MLB.com reports.
Pillar went 2-for-4 with a double, a stolen base and a run scored in Thursday's win over the Angels.
Pillar went 1-for-2 with a double, a steal and two RBI.
Pillar said Saturday that he's "98 percent sure" he'll retire from professional baseball after this season, Bob Nightengale of USA Today reports.