Albion have tabled a club-record bid for Manchester United midfielder Schneiderlin, which Press Association Sport understands to be worth around £18million
Schneiderlin has played just eight times for United this season having moved from Southampton for £25million in 2015.
Everton have also been linked with the France international but Pulis remained tight-lipped over any West Brom deal
"We have made bids for four or five players, we won't talk about them today
We will talk about them if we get them." he said.
"I don't want to go into it specifically, doing deals and business with people you should deal directly with them
Once they are done you can talk about them more openly
That's the way I prefer to conduct my business
"We'll be spending a bit of money left over from the previous window, then moving on from there
They are very keen to keep the club running financially positively
They feel they can if they manage it properly."
But any move for Southampton's Jay Rodriguez is likely to be off with the striker now set to stay at St Mary's.
The 27-year-old was close to making a summer loan switch to The Hawthorns - with Sunderland, Hull and Watford also interested - and was keen on a move as he was desperate to play
But with Charlie Austin out for up to four months with a shoulder injury, Rodriguez scored twice in the 3-1 win at Bournemouth last week and Pulis does not expect a fresh deal
He said: "We were very interested in the summer, we nearly got a deal done at the beginning of the season
We were very interested until he got those goals against Bournemouth and that's ended that one."
Albion go to Arsenal on Boxing Day and James Morrison is a doubt after being off all week with flu but Jonny Evans could return after missing the last two games with a calf injury
Source : PA
Source: PA