The Villa owner has advocated patience from supporters.
Villa have signed three players so far in the transfer window, with Bournemouth captain and centre-back Tommy Elphick being followed by promising Italian goalkeeper Pierluigi Gollini and young Reading midfield star Aaron Tshibola.
Whilst those would appear three solid additions so far, Villa are in need of a great deal of work on their squad this summer, and fans will be hoping for more additions.
One issue is that Xia and new Villa boss Roberto Di Matteo are keen to sell several members of the squad which suffered such ignominious relegation last season, and any further signings could hinge on first cutting the squad down.
Not only that, but some supporters have likely had one eye on the activity at fellow relegated club Newcastle, who have already spent around £30 million this summer, bringing in Premier League players such as Dwight Gayle and Matt Ritchie.
Xia, who bought the club from Randy Lerner earlier this year, has asked for patience from the club's supporters as he looks to rebuild Villa.
He tweeted: "Quality is more important than quantity. Doing everything right is much better than doing a lots [sic]. You have to believe this..."
Quality is more important than quantity. Doing everything right is much better than doing a lots. You have to believe this......— Dr. Tony Xia (@Dr_TonyXia) July 17, 2016
Though fans will certainly be hoping for more summer activity, Villa's existing squad have done well so far in pre-season since starting their preparations with an 8-0 win over Austrian side GAK Graz a week ago.
Xia was quick to acknowledge that commitment, and also tweeted his appreciation of the players' efforts.
Very delighted to know the effort and atmosphere in the squad now. Good start!@AVFCOfficial— Dr. Tony Xia (@Dr_TonyXia) July 17, 2016
Villa have been linked with several other players in recent weeks, although perhaps wisely supporters were sceptical of the report which linked them with Sporting Lisbon striker Islam Slimani this week.