Tests between these sides have invariably been one-sided, as you can see in this list below:

Pakistan has won 12 of these 13 Tests with one draw.
In Bangladesh, Pakistan leads 7-0 with 1 draw.
In Pakistan, Pakistan leads 5-0.
The one exception to heavy defeats was at Multan in 2003 where Bangladesh came within one wicket of defeating Pakistan. Inzamam (in his home town) was able to scrape through a 1-wicket win here.
We now look at individual scores, starting with Batting:
Most runs (minimum 400):

Azhar Ali has the highest total among current players, followed by Shakib Al Hasan.
The most centuries are 3 by M Hafeez and Younis Khan. The most 50+ scores are 7 by Habibul Bashar (who had only one century). Next are Taufeeq Umar and Shakib with 5 each.
Highest innings (minimum 100):

Abid Ali and Liton Das scored centuries in the just-concluded series.
Yasir Hameed scored centuries in both innings on his Test debut, but never made another century.
There is not enough data (minimum 20 innings) for calculating batting averages.
But we can find batting strike rates (for those with a minimum of 1000 balls faced).

Younis Khan leads 4 Pakistani players here.
Now for Bowling.
Most wickets (minimum 10 wickets):

Current player Taijul Islam (22) has the most for Bangladesh, although Danish Kaneria has the most with 34. Umar Gul also has 22. Newcomers Sajid Khan and SS Afridi are also here.
Best innings bowling (all 6wi and above):

Sajid Khan’s 8-42 is now the best in this series, surpassing Danish’s 7-77.
Taijul Islam now has the best innings figures for Bangladesh (7-116) surpassing Shakib’s 6-82.
Best match bowling (including all 8wm):

Here Sajid Khan’s 12-128 is second to Danish’s 12-94.
In this series, Taijul Islam had the best figures for Bangladesh (8-205).
Best bowling averages-not enough data as no one has bowled 2000 balls.
Fielding records:
Most dismissals (Minimum 8):

Rashid Latif has by far the most dismissals (26). Next is Khaled Mashud with 9.
Among fielders, Azhar Ali and Younis Khan have 8 each. Mahmudullah has 7.
Innings dismissals (Minimum 4):

Match dismissals (Minimum 5):

Rashid Latif again leads with 7 dismissals, while Shadab Kabir had 5 as a fielder.
All-round match performance (Minimum 50+ and 5-for):

Here we have the best performance by a Bangladesh player, with Shakib scoring 144 and taking 6-82).