Everton could have Seamus Coleman and Muhamed Besic available for Saturday's Barclays Premier League clash with Swansea at the Liberty Stadium.
Defender Coleman and midfielder Besic both came off in last weekend's victory over Chelsea due to hamstring problems, but Toffees boss Roberto Martinez has reported the pair have reacted well to treatment and are not being ruled out of the trip to Wales.
Martinez said: "We have had positive news on both.
"I think it is the least we expected in terms of soft tissue problems. Both are in the hamstring and both are reacting really well to treatment.
"It is difficult to tell how long it is going to take for them to get back, but I think both have got a chance to be involved at the weekend or maybe in the League Cup (when Everton face Reading away on Tuesday).
"I wouldn't rule any of the two out for the next game."
The news of Coleman's recovery will be a massive boost to Ireland boss Martin O'Neill as he prepares for crucial Euro 2016 qualifiers against Germany and Poland next month.
If they do not make it, their replacements in that game - debutant Ramiro Funes Mori and hat-trick hero Steven Naismith - will be ready to step in again. Darron Gibson (foot) is nearing a first-team return having featured for the under-21s on Monday but is not expected to be ready just yet.
The midfielder featured for the Under-21s on Monday as he stepped up his recovery from a foot problem, and Martinez said of Gibson: "Medically, he's fully fit and ready to rejoin the group, it's just a case of getting him that match fitness."
Provisional squad: Howard, Robles, Stones, Jagielka, Funes Mori, Browning, Coleman, Galloway, Barry, McCarthy, Besic, Osman, Barkley, Mirallas, Lennon, Deulofeu, Naismith, Kone, Lukaku.